cry out vs shout

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

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

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

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

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

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