Bird offerings precede grain offerings, when you have to choose. Even though there are communal grain offerings. They are, after all, living creatures. And they provide atonement. Though the grain offerings have details that argue for their precedence too. Also, an order of a list of offerings from the Torah, including a sin-offering, a burnt-offering, and tithings. Which raises questions about the time frame, but also the details of kodshei kodshim.