cook up vs make up

cook up and make up both are verbs.

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

As verbs, cook up and make up are synonyms defined as:

Other synonyms of cook up include fabricate, invent, manufacture.

cook up (verb)	make up (verb)
concoct something artificial or untrue	apply make-up or cosmetics to one's face to appear prettier
prepare or cook by mixing ingredients	put in order or neaten
	come to terms
	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