Scott Hahn has noted that covenantal sacrifices symbolize the content of the covenant. In a section of my book on atonement, I suggest that the covenant sacrifices of the OT tell us a great deal about Christ. After all, they should since they are all fulfilled in Christ (see 2 Cor. 1:21!):
"The covenantal signs that occur through sacrifice or quasi-sacrificial ritual, therefore tell us a great deal about the coming of the Messiah whom they symbolize. These covenantal ceremonies also represent the covering of humanity's shame through sacrifice (Gen. 3:21), the renewal of creation and universal peace through an act of sacrifice (8:20,9:12-17), the promise of the death of God himself (15), the coming of the holy seed (17), a father offering his only son in the form of sacrifice (22), the offering of a substitute (Gen. 22, Exod. 13) and the death and resurrection of a beloved son (Gen. 22, 35, 45, the whole Exodus narrative)."