lip rouge vs make-up

lip rouge and make-up both are nouns.

Word	Noun	Adjective	Verb	Adverb
lip rouge	Yes	No	No	No
make-up	Yes	No	No	No

As nouns, make-up is a hypernym of lip rouge; that is, make-up is a word with a broader meaning than lip rouge:

Other hypernyms of lip rouge include makeup, war paint.

lip rouge (noun)	make-up (noun)
makeup that is used to color the lips	cosmetics applied to the face to improve or change your appearance
	the way in which someone or something is composed
	an event that is substituted for a previously cancelled event