There has been no desolation with Satan in control of the throne of the Prince Messiah.
You are claiming an ongoing desolation, as well as a future 42 months of desolation. There will only be desolation as described in Daniel 9:27 after Jesus takes a throne in Jerusalem after a Second Coming.
Who said anything about Satan being in control of the throne of Messiah? Daniel 9:24-27 certainly says nothing like that, and that's the text we are talking about.
The throne of the Messiah is in heaven where Jesus is seated at the right hand of God. But Daniel 9:26-27 does speak about the desolation to city and sanctuary that would come as a result of (many) abominations (plural - not only one abomination, as in Matthew 24:15, which is speaking about something else).
Those many abominations, as CG said, were in the form of continued sacrifices for sin after Messiah had brought an end to sacrifice for sin by the once-for-all offering of Himself.
You're the one who's decided that Daniel 9:27 is referring to Satan in control of the throne of Messiah, no one else.
But the man of sin mentioned in 2 Thessalonians 2:4 is the anti-type of Antiochus IV Epiphanes, the temple he will seat himself up in is the only Tabernacle of God, i.e the New Testament Temple:
And the king shall do according to his will. And he shall exalt and magnify himself above every god, and shall speak marvelous things against the God of gods, and shall prosper until the fury is fulfilled. For that which is decreed shall be done.
He will not regard the God of his fathers, nor the desire of women, nor regard any god. For he shall magnify himself above all. Daniel 11:36-37
Let not anyone deceive you by any means. For that Day shall not come unless there first comes a falling away, and the man of sin shall be revealed, the son of perdition,
who opposes and exalts himself above all that is called God, or that is worshiped, so that he sits as God in the temple of God, setting himself forth, that he is God. 2 Thessalonians 2:3-4
The first two verses above are talking about Antiochus Epiphanes, the last two are talking about the man of sin, the anti-type of Antiochus.
Daniel 8:11; Daniel 11:31, Daniel 11:36-37 and Daniel chapter 12 are referring
to Antiochus Epiphanes and the abomination he set up, but Daniel chapter 12 overlaps with the time of the end of this Age and not only refers
back to the abomination of desolation set up by Antiochus, but it also projects all of this forward
to the end of this Age and the man of sin, showing that Antiochus Epiphanes and his desecration of the holy place is THE type of the man of sin of 2 Thessalonians 2. This is the abomination of desolation spoken of by Daniel the prophet standing in the holy place which Jesus mentioned in Matthew 24:15.
The abominations (plural) mentioned in Daniel 9:27
have nothing to do with the abomination (singular) mentioned in Matthew 24:15, which is referring to the abomination of Desolation mentioned in Daniel 8:11; Daniel 11:31, Daniel 11:36-37 and Daniel chapter 12, which are referring to Antiochus Epiphanes and the abomination he set up, and overlaps with the time of the end of this Age and corresponds with the man of sin.
You seem to have fallen in with the same misconception of others who have joined things together that do not belong together, and gotten their eschatology all wobbly as a result.
God only has one Temple today.
No building made with human hands will He ever regard as His Temple again, so even if another building gets erected where that temple stood,
it matters not who does what in such a man-made temple.
So either you must become a Preterist and place Matthew 24:15 and
all the Olivet Discourse and 2 Thessalonians 2
all in 70 A.D and the temple that was destroyed because of the abominations (plural) that were being done in it,
or you must acknowledge, finally (like all Christians should) that the temple made with human hands that was destroyed in 70 A.D
ceased being the holy place of the presence of God when the veil that was in it was torn in two from top to bottom,
and from then on and forever it would never be God's temple again.