Menachos 5:2 - 5:3

שנאמר כל המנחה אשר תקריבו לה' לא תעשה חמץ – it refers to the first clause [of the Mishnah] as it teaches that they are watched so that they do not become leavened, and it is speaking of prior to grabbing a handful . But the residue/remnants we derive from a different verse, as it is written (Leviticus 6:10): “It shall not be baked with leaven; [I have given it] as their portion [from My gifts],” even the portion of the priests which are the residue of the meal-offering that remained from the handful, even this shall not be baked with leaven, and with leaven, it is especially mentioned regarding the residue, but it is permitted to knead them with honey and to fry them with oil in it.

עריכתה (rolling it) – when he engages it with his hands after kneading, and they are liable for each and every one, for since it is says (Leviticus 2:11): “[No grain offering that you offer to the LORD] shall be made with leaven,” he is not able to be liable except for one [offering], the inference teaches us that “it should not be baked” (Leviticus 6:10), that baking was included and why was it excluded, to make an analogy of Biblical verses to it, just as baking is special that it is the action of an individual and one is liable for it on its own, even I include kneading it and rolling it and all individual actions regarding it, to include forming and smoothing the surface of the dough which is the action of an individual and we are liable for it on its own. And forming and smoothing the surface of the dough is smoothing its face in water and even though it does not appear so much as an action.

מנחת סולת – a person who vows a mere free-will meal-offering, brings fine flour and oil and frankincense and mixes it and takes a handful as it is prior to baking it. And for which it is written (Leviticus 2:1): “he shall pour oil upon it, lay frankincense on it,” all of these others we derive from the meal-offering of fine flour where it is written regarding the meal-offering of fine flour (Leviticus 2:1): “when a person,” that implies that all meal-offerings of an individual require oil and frankincense.

והחלות והרקיקין – a meal-offering of grain that is baked in an oven is called, the loaves [of bread] and the wafers. For if he requires loaves [of bread], he brings them and if he requires wafers, he brings wafers.

ומנחת כהנים – a Kohen who volunteers to donate one from these five meal-offerings.

מנחת כהן משיח – the meal-offering of unleavened cakes (see Tractate Menahot, Chapter 4, Mishnah 5).

גוי – [a heathen] who freely donates a meal-offering as we derive from "איש איש"/anyone (Leviticus 17:8 – “If any one of the house of Israel or of the strangers who reside among them offers a burnt-offering or a sacrifice”) which teaches that heathens bring votive offerings and free-will offerings like Israelites.

ומנחת נשים – a woman who vowed to donate a meal-offering.

ומנחת נסכים – which does not require frankincense, for oil is stated with it but not frankincense (see Numbers 15:4-5).

ולחם הפנים – it is written regarding it (Leviticus 24:7): “With each row you shall place pure frankincense, [which is to be a token offering for the read, as a gift to the LORD].” But oil is not written there.

שתי חלות – of Atzeret/Shavuot, but it is not mentioned on them neither oil nor frankincense (see Leviticus 5:11: “he shall not add oil to it or lay frankincense on it, [for it is a purification offering].”

מנחת חוטא ומנחת קנאות – it is written explicitly regarding them (Leviticus 5:11): “he shall not add oil to it or lay frankincense to it” (and Numbers 5:15: “No oil shall be poured upon it and no frankincense shall be laid upon it for it is a grain offering of jealousy.”).