increasingly vs more and more

increasingly and more and more both are adverbs.

Word	Noun	Adjective	Verb	Adverb
increasingly	No	No	No	Yes
more and more	No	No	No	Yes

As adverbs, increasingly and more and more are synonyms defined as:

Other synonyms of increasingly include progressively.

increasingly (adverb)	more and more (adverb)
advancing in amount or intensity	advancing in amount or intensity