Problem: Leviticus 17:11 affirmed that God gave blood sacrifices “to make atonement” for our souls. But Hebrews seems to contradict that, insisting that the Aaronic priest “stands ministering daily and offering repeatedly the same sacrifices, which can never take away sins” (10:11).
Solution: The sacrifices in the OT were not intended to take away sin, but only to cover over sin until Christ came who could do away with it. Each blood sacrifice before Christ looked forward to Christ. The passover lamb was a type that anticipated fulfillment in “Christ, our Passover, [who] was sacrificed for us” (1 Cor. 5:7). They provided only a temporary covering for sins until Christ could bring in the permanent solution to the sin question. Old Testament offerings had, as it were, an IOU attached to them, awaiting the price to be paid by the “Lamb of God who takes away the sin of the world” (John 1:29).
“And every priest standeth daily ministering and offering oftentimes the same sacrifices, which can never take away sins: (Heb 10:11)”