At the core of the apostolic testimony found in the New Testament are the four Gospels. The Gospels are central to the apostolic testimony, not only because they give a direct witness to the reality of God’s salvation manifest in Jesus but also because, as Moses authorized subsequent prophecy in Israel in Deuteronomy, Jesus in the Gospels authorizes the infallibility of apostolic witness.
The Gospels were written by at least two apostles (John and Matthew) and two persons authorized by the apostles (Mark by Peter, Luke by Paul). They therefore bear the stamp of the risen Christ’s authority. Although liberal scholars have questioned the reliability of the four Gospels and their authorship, there are many good arguments in favor of both their reliability and their traditional authorship….
Overall this evidence suggests that there was an early, very strong, and geographically diffuse consensus in the early church that the four canonical Gospels were indeed Scripture and that they were handed down from the apostles….
Finally, beyond the external evidence of the traditional authorship, there is evidence within the Gospels themselves. Richard Bauckham has shown that the Gospels bear literary features that suggest the authors were themselves eyewitnesses or had access to eyewitness testimony….
As should be clear from this discussion, the claims to apostolic origins made by the New Testament documents are extremely credible and grounded in objective historical fact. From this it is assured that they possess the infallibility Christ promised the apostolic witness and therefore legitimately belong to the canon. But it is also possible to go beyond the argument for mere apostolic authorship of each individual. Below we will argue that a case can be made that at least certain blocks of canonical materials, if not the whole canonical list itself, were recognized and authorized during the apostolic period. If valid, this argument would suggest that the canonical decisions of the fourth century were correct not simply because they accurately ascertained the apostolic source of each writing. Rather, their canonical lists grew organically out of the implied or explicit decisions the apostles themselves made about their own writings and their apostolic co-witnesses in the faith.
From Jack D. Kilcrease, Holy Scripture, Confessional Lutheran Dogmatics, Gifford A. Grobien, ed. (Fort Wayne, IN: The Luther Academy, 2020), 160, 162, 165, 171-172.