The four canonical gospels as we have them do not bear authorial names, they have names ascribed to them as titles, presumably added at a later date. Of these, only 2 would be apostles if correct: Matthew, John. Traditionally Luke's gospel is associated with Paul, and Mark's gospel is associated with Peter.
There are other gospels, but they all show signs of being later, and often with marked genre or literary differences. These include Gospels of Thomas, James, Peter, Nicodemus, as well as Gnostic texts like the Gospel of Judas, of Mary, of Philip, of Truth, and some others various Gospels (I am just listing those that are both associated with apostles/disciples and are treated as Gospel texts).
Non-canonical gospels were never included in the canon simply because the church as a whole never accepted them as authoritative. They lacked features such as being written in the apostolic time period, a claim to authorship or association with the apostles, widespread usage and acceptance, and coherency of doctrinal content with the public teaching of the ancient church.
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