Regardless of the mechanics of the Sacrifice, which is certainly a mystery to me, the intended effect seems to have been met. Christ preached a Gospel of love, morality, service, and humility towards God for three or so years and was executed for it in the most brutal and humiliating way, showing once again how humanity treats such Messengers of love. Crucifixion was an inhumane act of punishment reserved for enemies of the state, slaves, and the lowest of criminals in the Empire. Christ consented to this pain, suffering, and execution so that we might be detached from sin. That symbol of love has been particularly effective, as so many Christians rally to that symbol as a central tenant of their Faith. Even if the death was only temporary, the effect of that act on humanity has lasted to the present day.
Again, the mechanics of sacrifice may be confusing and mysterious; the effect is much less so.
And remember, physical death is not true death:
Then said Martha unto Jesus, Lord, if thou hadst been here, my brother had not died. But I know, that even now, whatsoever thou wilt ask of God, God will give it thee.
Jesus saith unto her, Thy brother shall rise again.
Martha saith unto him, I know that he shall rise again in the resurrection at the last day. Jesus said unto her, I am the resurrection, and the life: he that believeth in me, though he were dead, yet shall he live: And whosoever liveth and believeth in me shall never die. Believest thou this?
John 11:21-26