mop up vs wrap up

mop up is a noun but wrap up is not a noun.

Word	Noun	Adjective	Verb	Adverb
mop up	Yes	No	Yes	No
wrap up	No	No	Yes	No

As verbs, mop up and wrap up are synonyms defined as:

Other synonyms of mop up include clear up, finish off, finish up, get through, polish off.

mop up (noun)	wrap up (noun)
a concluding action

mop up (verb)	wrap up (verb)
finish a task completely	clothe, as if for protection from the elements
defeat thoroughly	form a cylinder by rolling
to wash or wipe with or as if with a mop	finish a task completely
	arrange or fold as a cover or protection