"The Torah which a man learns in this world is but vanity compared to the Torah of Messiah." (Midrash Qohelet 11:8)
The Torah of the Messiah seems to have a lot of key dynamics when it comes to understanding the ways that things shift - and that is something which many have noted within the Messianic world to deal extensively with the nature sacrifices and other events will occur different from the Levitical era.
Sacrifices, as it concerns atonment, are forever done with--and one has to read past a great deal of scripture, IMHO, to ignore the fact that what the Lord said of the requirements of one priesthood doesn't change what He felt about another priesthood and new requirements. No one can ever say that those not descended from the line of Aaron can inherit the Levitical Priesthood, as an example---nor can anyone say that they can keep the entire Mosaic Code only by adhering to one aspect of it since the Law required it ALL to be kept if one was going to claim righteousness by it in proclaiming they were justified by it. Nonetheless, those things still stand eternal while it is also equally eternal that the Melchizedek Priesthood (existing prior to the Mosaic Code, Genesis 14 and Hebrews 5-7) is what Yeshya came in and what we base our covenant with the Lord in---and it's just as eternal that Yeshua walked out the fullness of the Mosaic Code in order to enable access into a New Priesthood/Covenant that didn't require one walking in accordance with a previous Mosaic Priesthood or Mosaic code. It's just as eternal of a precept/command by the Lord that looking unto the Mosaic code for justification and righteousness can only bring a curse since He made clear it was only in looking unto the Spotless Lamb/Sacrifice of Christ and His example that one was truly made righteous.
With the sacrifices, to be clear, I agree that the Levitical priesthood will be reinstated--though I also feel that the recreation of the Levitical priesthood will be for a time...till the time when there's no more moon or sun due to God's Glory/light shining in its place (Revelation 21-22).
To be more clear on what I'm saying, the Lord almighty said the following:
"Jer 33:17
For thus saith the LORD; David shall never want a man to sit upon the throne of the house of Israel; 18 Neither shall the priests the Levites want a man before me to offer burnt offerings, and to kindle meat offerings, and to do sacrifice continually. 19 ¶ And the Word of the LORD came unto Jeremiah, saying, 20 Thus saith the LORD; If ye can break my covenant of the day, and my covenant of the night, and that there should not be day and night in their season; 21 [Then] may also my covenant be broken with David my servant, that he should not have a son to reign upon his throne; and with the Levites the priests, my ministers.
There is still day and night. ..and others are of the mindset that day/night existing must mean that the Levitical priesthood is still up/running and what the Lord wants His saints to run to. However,
there's already the dynamic of how NIGHT and Day have limitations in their extension since the Lord already promised that those things would cease as well in the age to come....and if focusing upon Jeremiah 33 in its talk of "day and night" being the basis for the Levitical priesthood continuning, Revelation makes a difference:
Revelation 22:4-6
4 They will see his face, and his name will be on their foreheads. 5 There will be no more night. They will not need the light of a lamp or the light of the sun, for the Lord God will give them light. And they will reign for ever and ever.
In light of how the Bible says that Sun/Night will cease seeing that the Lord will replace both for His saints, if that can come to an end and transformation can occur, there's logical basis for saying that there will be a transformation of what the Levitical priesthood will be later....as opposed to assuming it will continue to work the same JUST as it operated within the OT..
As said on differing occassions, some branches of Christianity teach that the ethical Law remains, while the civil/ceremonial statutes have been done away with.
For Gentiles, this may seem a satisfactory solution to the problem of Torah...but for Jewish believers it isn't so simple as that....all supposed abrogations can be otherwise explained within the Jewish framework for understanding Torah.
Some rules were transformed by their fulfillment...a process already found in the Tanak, for example, when the Tabernacle was superceded by the Temple. In the New Testament, Yeshua's own sacrifical death fulfilled the function of temple sacrifice foe sin and either superceded it or changed it into a memorial...as explained in Hebrews 7:11-13 .
It makes sense to consider how Levitical sacrifices will continue ONLY in a memorial sense due to the fact that our current observation of the Lords Supper includes this aspect (1 Corinthians 11:23-26). Under the Mosaic system which looked ahead many times various temple sacrifices are specifically called memorials (Exodus 30:16; Leviticus 2:2, 9; 5:12; 6:15; 24:7; Numbers 5:15, 18, 26). For those saying that a temple must remain for ALL time, it should be remembered that the millennium will return history to a time when Israel will be Gods mediatory people but will also continue to be a time in which sin will be present upon the earth. Thus, God will include a new temple, a new priesthood, a new law, etc., at this future time because He will be present in Israel and still desires to teach that holiness is required to approach Him. This is contrasted with the fact that no temple will exist in eternity (Revelation 21:22) because God and the Lamb are the temple since there will be no sin in heaven, thus no need for ritual cleansing.
Hebrews 10:4 says, It is impossible for the blood of bulls and goats to take away sins. .....and there would have been no need for Christs once and for all atoning sacrifice if these past acts with the Levitical system did the job. Thus, for the Levitical priesthood/system, its logical to realize that it can only continue in a secondary level/differing dynamic than how it once once....and trying to quote Jeremiah 33 as a case for the Levitical system to continue as it operated DURING THAT TIME would be erroneous.
Scripture makes clear that the Law has transformed..especially within the area of the Temple. One must keep the concept of transformation in view if discussing the Temple in the OT and what the NEW Covenant describes for us...as well as all of the activities occuring in the old temple that occur for us as well differently in the new.
When it comes to what God said with Moses when it came to his commanding the Israelities to give sacrifices to Him..animal ones as well as grain ones, it should be understood that the sacrifices have changed, of course, in the NT (Romans 12:1-3, Hebrews 13:15)--just as it has been with the temple changing in its format.....though of course, some say that the temple will come back according to Ezekiel 39-44 and Zechariah 6....and that's worth considering.
In Hebrews 13:8, for example, the sacrifices were considered to be "praise" we give to the Lord---in remembrance of Leviticus 7:12 and Psalm 50:14 and what the scriptures say in I Peter 2:5 about us now being priests/God's new design (temple included)...and in context with the Book, the Jews following Christ were being persecuted at one point due to their faith and distancing from aspects in Judaism.
If these Jewish Christians, because of their witness to the Messiah, could no longer worship with other Jews, they could consider praise their sacrifice----one they could offer anywhere and anytime. This must have reminded them of the prophet Hosea's words, "Take away all of their inquity and recieve us graciously so we will render the calvesof our lips" (Hosea 14:2).
A sacrifice of praise today would include thanking CHrist for His sacrifice on the Cross and telling others about it....and as Paul mentioned in Romans 12:1-3, our lives are now to be a living sacrifice. These Christians could now be encouraged in their Jewishness, despite how Hebrews 10:32-39 describes the massive persecution that the Hebraic Christians were facing ...
Other sacrificial offerings remain part of God's order even after Yeshua's death, as proven by Sha'ul's activity in the temple at Acts 21:25-27 and his own offering of sacrifices which he himself speaks of at Acts 24:16-18 .
With the destruction of the temple, sacrifical offerings became impossible; but if the temple is rebuilt, thank offerings, meal offerings, and praise offerings may be offered once again. What has ended in many ways isn't the sacrifical system since many things occurring in it were not only practiced by the early church----but they were also done before the Law in examples such as Cain and Abel in giving grain offerings and animal sacrifices out of thankfulness.
In regards to Leviticus, I'm of the mindset that the last days will see the sacrifices done in a memorial sense more so than actually making cleansing for the sins of the people---as the blood of Jesus was explictly for that purpose. I think it'd be best to see that when Messiah returns in glory, He will build the millennial Temple (Ezek. 40-48)..and it will be filled with the Divine Presence (Ezek. 43:1-7) and will be consecrated for use throughout the Messianic age (Ezek. 43:11, 18-27; 44:11-28; 45:13-46; Isa. 56:6-7; 60:7; Jer. 33:18; Zech. 14:16-21). When the temple is rebuilt it is expected that the sacrificial system will be re-instituted...but since the blood of the Messiah (the permanent sacrificial lamb) is the blood that God uses for the atonement process, the sacrifices are thought to be some type of memorial to what was accomplished on the cross, similar in some ways to a communion memorial.
Jeremiah 33:14-2 is a prose of salvation, which is an expansion of Jeremiah 23:5-6. Coming from the exile, it promises the restoration of the Davidic monarchy and the Levitical priesthood. God's promises to David and the Levites will be honored (Deuteronomy 18:1-2, II Samuel 7). In many ways, what is said of the Levitical priesthood is a repetition of the promise made to Phinehas in Numbers 25:13. Some understand this of a continuance of Gospel ministers unto the end of the world, who succeeded the priests and Levites (I Peter 2:1-10)--for the NT describes how the people of God now have the honorific titles taken from Exodus 19:6 and Isaiah 43:20-21 applied to them as now being "kings and priests." What in the OT describes aspects of Israel is here applied to the Christian community......
Essentially, the Messiah's literal priesthood (Heb 7:17, Hebrews 7:21, Hebrews 7: 24-28), and His followers' spiritual priesthood and sacrifices (Jer 33:11, Ro 12:1, Romans 15:16, I Peter 2:5-9, Revelation 1:6), shall never cease, according to the covenant with Levi, broken by the priests, but fulfilled by Messiah (Nu 25:12-13; Malachi 2:4, Malachi 2:5-8).
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I don't concern myself too much about the millennium. Yeshua told us not to worry about the future, that the present is enough to concern us. And even in our "present day," not to be too concerned over our needs, Hashem will see to it that they are met. That sounds very much like a command, and also like some very good advice from a very godly man! So I try to observe the advice and obey it the command. 
