shout vs cry out

shout is a noun but cry out is not a noun.

Word	Noun	Adjective	Verb	Adverb
shout	Yes	No	Yes	No
cry out	No	No	Yes	No

As verbs, shout and cry out are synonyms defined as:

Other synonyms of shout include call out, cry, exclaim, outcry.

shout (noun)	cry out (noun)
a loud utterance; often in protest or opposition

shout (verb)	cry out (verb)
utter in a loud voice; talk in a loud voice (usually denoting characteristic manner of speaking)	utter aloud; often with surprise, horror, or joy
utter a sudden loud cry
utter aloud; often with surprise, horror, or joy
use foul or abusive language towards