eyeshadow vs make-up

eyeshadow and make-up both are nouns.

Word	Noun	Adjective	Verb	Adverb
eyeshadow	Yes	No	No	No
make-up	Yes	No	No	No

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

eyeshadow: makeup consisting of a cosmetic substance used to darken the eyes
make-up: cosmetics applied to the face to improve or change your appearance

Other hypernyms of eyeshadow include makeup, war paint.

eyeshadow (noun)	make-up (noun)
makeup consisting of a cosmetic substance used to darken the eyes	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