make up vs cover

make up is not a noun while cover is a noun.

Word	Noun	Adjective	Verb	Adverb
make up	No	No	Yes	No
cover	Yes	No	Yes	No

As verbs, cover is a hyponym of make up; that is, cover is a word with a more specific, narrower meaning than make up:

make up: adjust for
cover: make up for shortcomings or a feeling of inferiority by exaggerating good qualities

Other hyponyms of make up include carry, compensate, overcompensate.

make up (noun)	cover (noun)
	the act of concealing the existence of something by obstructing the view of it
	fire that makes it difficult for the enemy to fire on your own individuals or formations
	a false identity and background (especially one created for an undercover agent)
	a recording of a song that was first recorded or made popular by somebody else
	bedding that keeps a person warm in bed
	a covering that serves to conceal or shelter something
	covering for a hole (especially a hole in the top of a container)
	the protective covering on the front, back, and spine of a book
	a natural object that covers or envelops
	a fixed charge by a restaurant or nightclub over and above the charge for food and drink

make up (verb)	cover (verb)
apply make-up or cosmetics to one's face to appear prettier	sit on (eggs)
put in order or neaten	clothe, as if for protection from the elements
come to terms	protect by insurance
concoct something artificial or untrue	act on verbally or in some form of artistic expression
devise or compose	be responsible for reporting the details of, as in journalism
do or give something to somebody in return	maintain a check on; especially by patrolling
make up work that was missed due to absence at a later point	protect or defend (a position in a game)
form or compose	hold within range of an aimed firearm
adjust for	play a higher card than the one previously played
	be responsible for guarding an opponent in a game
	provide with a covering or cause to be covered
	form a cover over
	copulate with a female, used especially of horses
	cover as if with a shroud
	put something on top of something else
	travel across or pass over
	hide from view or knowledge
	spread over a surface to conceal or protect
	be sufficient to meet, defray, or offset the charge or cost of
	to take an action to protect against future problems
	invest with a large or excessive amount of something
	help out by taking someone's place and temporarily assuming his responsibilities
	provide for
	span an interval of distance, space or time
	include in scope; include as part of something broader; have as one's sphere or territory
	make up for shortcomings or a feeling of inferiority by exaggerating good qualities