moral sense vs sense of right and wrong

moral sense and sense of right and wrong both are nouns.

Word	Noun	Adjective	Verb	Adverb
moral sense	Yes	No	No	No
sense of right and wrong	Yes	No	No	No

As nouns, moral sense and sense of right and wrong are synonyms defined as:

moral sense and sense of right and wrong: motivation deriving logically from ethical or moral principles that govern a person's thoughts and actions

Other synonyms of moral sense include conscience, scruples.

moral sense (noun)	sense of right and wrong (noun)
motivation deriving logically from ethical or moral principles that govern a person's thoughts and actions	motivation deriving logically from ethical or moral principles that govern a person's thoughts and actions