Note the difference of priestly and family communion, all depending on Aaron in verses 9, 10 and 11-13.
Note too, that the first three verses of Lev. 2 are the ordinary meat-offering, from verse 4 the baked meat-offering—the latter dry, or mingled with oil, was for all the males of the family—the baked ones entirely the priest's that offered it; one was isolated offering in Christ alone, the other was general Church communion.
Note, in passing, the wave-breast was for Aaron and his sons; the heave-shoulder for the offering priest. This, however, would seem to be only in the case of the peace-offerings; the trespass-offerings and sin-offerings were for the males only, the heave- and wave-offerings for all the family, see also Leviticus 10:14. However, in heave-offerings there seem to be more decided consecration, not for service as presented merely but entirely given up; the Levites were a wave-offering. The heave-offering was an offering of gift, save the heave-shoulder; the heave-offering of dough, Num. 15:19-21. Lev. 7:14, I apprehend, must be one of the unleavened cakes.
The wave-offering seems rather presented to the Lord, and then to subsist for whatever service or use; the heave-offering to have been more offered to the Lord. It is a common word for everything offered to God and given up, so to speak, to Him.