On an interview I read ** you do not have permission to see this link **

Jesus and the gospels, Craig Blomberg says, can offer key insights on whether or not Jesus is real. One of the primary points of controversy surrounding the first three gospels (also known as the “Synoptic” gospels) is their authorship: Did Matthew, Mark, and Luke truly write the gospels to which their names are attached?

The answer is yes. Although scholars don’t know for certain who wrote each gospel, early church testimony is uniform on the subject of the authorship of the first three gospels. According to writings by Papias (125 AD) and Irenaeus (180 AD), Matthew, a tax collector also known as Levi, was the author of the first gospel; John Mark, a disciple of Peter, was the author of the second gospel; and Luke, Paul’s companion and physician, was the author of “The Gospel of Luke” and “Acts.” It is unlikely that commentators like Papias and Irenaeus would lie about the authorship of these texts: As a tax collector, Matthew was probably not much favored during Jesus’s time, and Mark and Luke weren’t even among Jesus’s twelve apostles. When later writers created apocryphal (in other words, fictitious) gospels, they used more famous figures like Philip, Peter, and Mary. 

I am a bit troubled here, can the writings by Papias and Irenaeus be reliable to decalre the authorship of the Gospels?