In the previous two Mishnayot (Mishnah passages), we gave seven examples of when you have two korbanot (offerings) that are ready to be offered, which one is holier and should be offered first. Here we'll continue to elaborate on that and provide some concluding thoughts.
The Mishnah says that bird offerings come before minchah offerings, which are flour offerings, because bird offerings have blood with them; they are blood offerings, as opposed to minchah offerings, which are simply flour. And blood offerings provide the most type of kapparah (atonement), so the ofot, birds, go before minchah offerings.
Another ninth example. Then amongst flour offerings, a minchah offering that a sinner brings. For certain types of averot (transgressions), if a person can't afford an animal or a bird, they bring a minchah instead. A minchah of a chote (sinner) comes before a minchat nedavah, a voluntary minchah offering, because the sinner's minchah comes to provide kapparah for a sin, whereas a voluntary minchah does not, so the sinner's minchah is considered holier.
Now we'll bring one more halachah (Jewish law) that doesn't really fit in the flow, but we bring it anyway. Chatat ha'of kodemet le'olat ha'of. The bird chatat (sin offering) comes before a bird olah (burnt offering), as the Torah explicitly says: if a person is bringing a pair of birds, a chatat and an olah, he brings the chatat first. Vechen behakdashah, the same is true when it comes to its sanctification. If a person is bringing a pair of birds as a korban and has a chatat and an olah, he sanctifies the chatat bird first, if he has to actually sanctify them. If he has to separate one for a korban, he has to specify what he's doing. So he's separating one away; he has to specify that the chatat ha'of goes before the olat ha'of. He has to make the chatat ha'of holy first.