no matter vs disregarding

no matter and disregarding both are adverbs.

Word	Noun	Adjective	Verb	Adverb
no matter	No	No	No	Yes
disregarding	No	No	No	Yes

As adverbs, no matter and disregarding are synonyms defined as:

no matter and disregarding: in spite of everything; without regard to drawbacks

Other synonyms of no matter include disregardless, irrespective, regardless.

no matter (adverb)	disregarding (adverb)
in spite of everything; without regard to drawbacks	in spite of everything; without regard to drawbacks