וְאִם־לֹא֩ תַשִּׂ֨יג יָד֜וֹ לִשְׁתֵּ֣י תֹרִ֗ים אוֹ֮ לִשְׁנֵ֣י בְנֵי־יוֹנָה֒ וְהֵבִ֨יא אֶת־קָרְבָּנ֜וֹ אֲשֶׁ֣ר חָטָ֗א עֲשִׂירִ֧ת הָאֵפָ֛ה סֹ֖לֶת לְחַטָּ֑את לֹא־יָשִׂ֨ים עָלֶ֜יהָ שֶׁ֗מֶן וְלֹא־יִתֵּ֤ן עָלֶ֙יהָ֙ לְבֹנָ֔ה כִּ֥י חַטָּ֖את הִֽיא׃
Но если его средств недостаточно для двух горлиц или двух молодых голубей, то он принесет свою жертву за то, в чем он согрешил, десятую часть эфы мелкой муки для жертвы за грех; он не должен наливать на него масла и не ставить на него ладан; ибо это жертва за грех.
Mishnah Menachot
All minhahs from which the handful was taken not in their own name are valid, except that they do not count in fulfilling their owners’ obligation, with the exception of the sinner's minhah and the minhah of jealousy. A sinner’s minhah and the minhah of jealousy from which he removed the handful not in their own name, or he put into the vessel, or brought [to the altar], or burned not in their own name, or for their own name and not for their own name, or not for their own name and for their own name, they are invalid. How can they be “for their own name and not for their own name”? [If offered it] as a sinner's minhah and as a voluntary minhah. And how can they be “not for their own name and for their own name”? [If offered it] as a voluntary minhah and as a sinner's minhah.
Mishnah Sotah
[The husband] brings her meal-offering in a basket of palm-twigs and places it upon her hands in order to weary her. With all other meal-offerings, their beginning and their end are in ministering vessels; but with this, its beginning is in a basket of palm-twigs and its end in a ministering vessel. All other meal-offerings require oil and frankincense, but this requires neither oil nor frankincense. All other meal-offerings come from wheat, but this comes from barley. The meal-offering of the Omer, although it comes from barley, was in the form of sifted flour; but this comes from unsifted flour. Rabban Gamaliel says: just as her actions were the actions of an animal, so her offering [consisted of] animal's fodder.
Mishnah Menachot
If he had an intention which makes piggul [with regard to the remainder of the minhah] during the [burning of the] handful and not during the [burning of the] frankincense, or during the [burning of the] frankincense and not during the [burning of the] incense: Rabbi Meir says: it is piggul and he is liable for karet for it; But the sages say: there is no karet unless he had an intention that makes piggul during the service of the whole of the mattir. The sages agree with Rabbi Meir with regard to a sinner’s minhah or a minhah of jealousy, that if he had an intention which makes piggul during the [burning of the] handful, [the remainder] is piggul and he is liable for karet for it, since the handful is the entire mattir. If he slaughtered one of the lambs intending to eat the two loaves the next day, or if he burned one of the dishes of frankincense intending to eat the two rows [of the showbread] on the next day: Rabbi Meir says: it is piggul and he is liable for karet for it; But the sages say: it is not piggul, unless he had an intention that makes piggul during the service of the whole of the mattir. If he slaughtered one of the lambs intending to eat part of it the next day, that [lamb] is piggul but the other [lamb] is valid. If he intended to eat the other [lamb] the next day, both are valid.