Christ’s Atonement and Animal Sacrifices In Israel

How does the atoning work of the Lord Jesus Christ relate to the animal sacrifices which God gave to Israel through Moses? What did the blood of these animals accomplish during the days of the Old Covenant theocracy? How does the Old Covenant sacrificial system compare with the New Covenant system envisioned in Ezekiel 40-48 and other Old Testament passages? And how does this New Covenant sacrific