farm club vs minor-league club

farm club and minor-league club both are nouns.

Word	Noun	Adjective	Verb	Adverb
farm club	Yes	No	No	No
minor-league club	Yes	No	No	No

As nouns, minor-league club is a hypernym of farm club; that is, minor-league club is a word with a broader meaning than farm club:

farm club: a minor-league team that is owned by a major-league team (especially in baseball)
minor-league club: a team that plays in a minor league

Other hypernyms of farm club include minor-league team.

farm club (noun)	minor-league club (noun)
a minor-league team that is owned by a major-league team (especially in baseball)	a team that plays in a minor league