concoct vs make up

concoct and make up both are verbs.

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

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

Other hyponyms of concoct include idealise, idealize, cook up, fabricate, invent, manufacture.

As verbs, make up is a hypernym of concoct; that is, make up is a word with a broader meaning than concoct:

Other hypernyms of concoct include cook up, fabricate, invent, manufacture.

concoct (verb)	make up (verb)
make a concoction (of) by mixing	apply make-up or cosmetics to one's face to appear prettier
devise or invent	put in order or neaten
prepare or cook by mixing ingredients	come to terms
invent	concoct something artificial or untrue
	devise or compose
	do or give something to somebody in return
	make up work that was missed due to absence at a later point
	form or compose
	adjust for