The books of the Catholic and Protestant and Orthodox New Testament were fixed after the Church of the East split from the other branches of Christianity. So I wonder what became the set of the standard books for them.
The best I can find is a list of Old and New Testament books, written by a late 13th-century bishop of Nisibis named Mar Abd-Yeshua. I found the list in a blog post by Eastern Orthodox subdeacon Gabe Martini. The New Testament list is basically the same as the standard 27-book New Testament, with a couple exceptions. Martini notes:
Also, though the list includes the four Gospels generally accepted throughout Christendom, it also includes the Diatessaron.
Genghis Khan was the founder and emperor of the Mongol Empire around the year 1200. John of Montecorvino (1247–1328) an Italian Franciscan missionary was said to be possibly the first person to translate the New Testament and Psalms into Mongolian.
Therefore we can basically assume the New Testament was the Catholic New Testament (which is the same as the Protestant one):
-The Gospels according to Matthew, Mark, Luke and John
Since poor Genghis died around 1227, he probably never got a chance to read it himself.
Yet the Catholic history does not reach the full answer because although Catholic missionaries may have been the first to translate a full New Testament into Mongolian, there were not the first Christian missionaries into the region.
This article says:
Nestorianism was an Eastern sect considered by the West as Heresy for its unique view of the nature of Christ as being two distinct persons.
According to this article, the Nestorian Canon "excludes the New Testament books of Revelation, Jude, Second John, Third John and Second Peter, because the use of those books was not attested in the churches of Persia early enough to have been woven into the canonical tradition. "