The New Covenant sacrifices are far more demanding than the Old Covenant sacrifices. But there are poignant lessons to be learned from animal sacrifices.
Martin Collins, analyzing the differences between the offerings of Cain and Abel, emphasizes that failure to obey the command specifically requiring a livestock offering rather than produce from already-cursed ground (Genesis 3:17) disqualified Cain's offering. The observation that Cain's countenance fell suggests that he had …
The meal offering represents the intense self-sacrifice required in service to man. Our service to man must be done for God's sake rather than man's appreciation.
The meal offering represents the second Great Commandment, love toward fellow man. Our service to others requires much grinding self-sacrifice and surrender.