more vs many

more and many both are adjectives.

Word	Noun	Adjective	Verb	Adverb
more	No	Yes	No	Yes
many	No	Yes	No	No

more (adjective)	many (adjective)
(comparative of `much' used with mass nouns) a quantifier meaning greater in size or amount or extent or degree; above; more than	a quantifier that can be used with count nouns and is often preceded by `as' or `too' or `so' or `that'; amounting to a large but indefinite number; quantifier, plural pronoun; quantifier, plural
(comparative of `many' used with count nouns) quantifier meaning greater in number

more (adverb)	many (adverb)
used to form the comparative of some adjectives and adverbs, indicates that the adjective or adverb is more of something
comparative of much; to a greater degree or extent