eyeshadow vs makeup

eyeshadow and makeup both are nouns.

Word	Noun	Adjective	Verb	Adverb
eyeshadow	Yes	No	No	No
makeup	Yes	No	No	No

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

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

Other hypernyms of eyeshadow include make-up, war paint.

eyeshadow (noun)	makeup (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