A part of this was to bring two goats, one to be sacrificed and the other to be the "scapegoat" which was lead into the wilderness, carrying away the sins of the people, as an atonement each year.
In contrast, Jesus' death at Calvary was both the sacrifice and the scapegoat ... which carried away the sins of the world. It was the only sacrifice required to redeem us all from the chains of sin and death.
No other atonement was needed ... and the propitiation of the cross never runs out ... with our Savior's last words at Calvary, He said "It is finished". Amen and thank you Father ... Thank you Jesus ... and Holy Spirit ... for providing the Perfect Sacrifice for us.
Leviticus 16: 8-10
And Aaron shall cast lots on the two goats; one lot for the LORD, and the other lot for the scapegoat. And Aaron shall bring the goat on which the LORD's lot fell, and offer him for a sin offering. But the goat, on which the lot fell to be the scapegoat, shall be presented alive before the LORD, to make an atonement with him, and to let him go for a scapegoat into the wilderness.
John 19: 16-17
And they took Jesus, and led him away. And he bearing his cross went forth into a place called the place of a skull, which is called in the Hebrew Golgotha, where they crucified him
John 19: 29-30
After this, Jesus knowing that all things were now accomplished, that the scripture might be fulfilled, said, I thirst. Now there was set a vessel full of vinegar: and they filled a sponge with vinegar, and put it on hyssop, and put it to his mouth. When Jesus therefore had received the vinegar, he said, It is finished: and he bowed his head, and gave up the ghost
(Verses above in American King James, link in KJV)