sought-after vs sought after

sought-after and sought after both are adjectives.

Word	Noun	Adjective	Verb	Adverb
sought-after	No	Yes	No	No
sought after	No	Yes	No	No

As adjectives, sought-after and sought after are synonyms defined as:

Other synonyms of sought-after include coveted, in demand.

sought-after (adjective)	sought after (adjective)
much wanted	much wanted
being searched for