suggest vs put forward

suggest and put forward both are verbs.

Word	Noun	Adjective	Verb	Adverb
suggest	No	No	Yes	No
put forward	No	No	Yes	No

As verbs, put forward is a hyponym of suggest; that is, put forward is a word with a more specific, narrower meaning than suggest:

suggest (verb)	put forward (verb)
make a proposal, declare a plan for something	put before
call to mind	propose as a candidate for some honor
imply as a possibility	summon into action or bring into existence, often as if by magic
drop a hint; intimate by a hint	insist on having one's opinions and rights recognized