make up vs cook up

make up and cook up both are verbs.

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

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

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

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