recount vs counting

recount and counting both are nouns.

Word	Noun	Adjective	Verb	Adverb
recount	Yes	No	Yes	No
counting	Yes	No	No	No

As nouns, counting is a hypernym of recount; that is, counting is a word with a broader meaning than recount:

recount: an additional (usually a second) count; especially of the votes in a close election
counting: the act of counting; reciting numbers in ascending order

Other hypernyms of recount include count, enumeration, numeration, reckoning, tally.

recount (noun)	counting (noun)
an additional (usually a second) count; especially of the votes in a close election	the act of counting; reciting numbers in ascending order

recount (verb)	counting (verb)
narrate or give a detailed account of
count again