Gospel According to Matthew vs Gospel of Matthew

Gospel According to Matthew and Gospel of Matthew both are nouns.

Word	Noun	Adjective	Verb	Adverb
Gospel According to Matthew	Yes	No	No	No
Gospel of Matthew	Yes	No	No	No

As nouns, Gospel According to Matthew and Gospel of Matthew are synonyms defined as:

Gospel According to Matthew and Gospel of Matthew: one of the Gospels in the New Testament; includes the Sermon on the Mount

Other synonyms of Gospel According to Matthew include Matthew.

Gospel According to Matthew (noun)	Gospel of Matthew (noun)
one of the Gospels in the New Testament; includes the Sermon on the Mount	one of the Gospels in the New Testament; includes the Sermon on the Mount