finishing vs mop up

finishing and mop up both are nouns.

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

As nouns, mop up is a hypernym of finishing; that is, mop up is a word with a broader meaning than finishing:

Other hypernyms of finishing include closing, completion, culmination, windup.

finishing (noun)	mop up (noun)
the act of finishing	a concluding action
a decorative texture or appearance of a surface (or the substance that gives it that appearance)

finishing (verb)	mop up (verb)
	finish a task completely
	defeat thoroughly
	to wash or wipe with or as if with a mop