homebrew vs alcoholic drink

homebrew and alcoholic drink both are nouns.

Word	Noun	Adjective	Verb	Adverb
homebrew	Yes	No	No	No
alcoholic drink	Yes	No	No	No

As nouns, alcoholic drink is a hypernym of homebrew; that is, alcoholic drink is a word with a broader meaning than homebrew:

Other hypernyms of homebrew include alcohol, alcoholic beverage, inebriant, intoxicant.

homebrew (noun)	alcoholic drink (noun)
an alcoholic beverage (especially beer) made at home	a liquor or brew containing alcohol as the active agent