Rashi on Leviticus
ואת המנחה AND THE MEAL-OFFERING — the meal-offering of the drink-offering that accompanies an animal sacrifice.
Sforno on Leviticus
וכפר עליו הכן וטהר, he will have attained a sufficient level of ritual purity to be allowed to partake in sacrificial meats, and entering holy precincts (if he is otherwise qualified to do so). Compare our sages in Negai-im 14,3 that “as soon as he has brought his atonement offering he is free to again partake of sacred foods.” (the portions of the peace-offerings normally consumed by the owners of the animals.)
Siftei Chakhamim
The meal offering [accompanying] the drink-offering. I.e., that is brought with an animal, which is the meal-offering of a drinkoffering and not a meal-offering that is brought on its own, because the meal-offering that is brought on its own has a fistful taken and the remnant is eaten by the kohanim. But this meal-offering is compared [through a היקש] to the burnt-offering which is entirely burnt, and so too, this meal-offering is entirely burnt.