The standard lexica treat מנחה as one word with a unified core, a gift presented to a superior, that ranges across a present to win goodwill, tribute paid to an overlord, and an offering brought to God; in the Priestly material it becomes the technical term for the grain offering of flour, oil, and frankincense that accompanies the animal sacrifices. HALOT, BDB, DCH, and Fabry/Weinfeld in TDOT VIII (407-21) organize the senses this way and compare Arabic manaḥa "to give, grant," taking מנחה as a primary noun preserving a West Semitic root for "give." The cognate dossier carries the weight: Ugaritic mnḥ/mānaḫātu denotes both vassal tribute and cultic gift, the Punic tariffs (KAI 69, 74) use mnḥt for the vegetable offering category, and the fifth-century Elephantine papyri (TAD A4.7, A4.9) use מנחה as the technical cereal offering beside frankincense and the burnt offering. Both the broad gift/tribute sense and the narrow cereal sense are thus pre-biblical and West-Semitic-wide. On the development, Rendtorff (Studien zur Geschichte des Opfers, WMANT 24, 1967) and Milgrom (Leviticus 1-16, AB 3, 1991, 195-202) argue the word began as a general gift, widened to any offering in early cultic usage, and contracted to the technical cereal offering only under P's drive for terminological precision; Levine (In the Presence of the Lord, 1974; JPS Leviticus, 1989) agrees on the development but stresses that even in P the cultic term retains its suzerain-vassal coloring, cereal being the basic form of agrarian tribute. Anderson (Sacrifices and Offerings in Ancient Israel, HSM 41, 1987) presents the genre-conditioned alternative: the cultic and political senses are two registers of one always-polysemous word, so P codified rather than invented the cereal sense, a reading the Ugaritic evidence and the non-Priestly animal uses (Gen 4:3-5; 1 Sam 2:17, 29; Mal 1:13) support against any strict evolutionary curve. Within the Priestly grid מנחה is the bloodless tribute, never on its own an atoning offering (except the poor person's substitute of Lev 5:11-13); Milgrom reads its burned token portion (azkarah) not as a "memorial" but, via Akkadian zikru, as a representative "token" of the whole gift.