... and seems to indicate that Young had been through the process when Pope was hired. That probably helped quite a bit.

https://www.cbssports.com/college-basketball/news/byu-to-hire-kevin-young-as-coach-phoenix-suns-assistant-to-lead-cougars-after-mark-pope-takes-over-kentucky/ 

BYU went outside its standard hiring practices and procedures in the way it hired Young, according to sources. Whereas the university and its church leaders normally mandate at least three candidates be formally interviewed for a head coaching position, Young was the only candidate interviewed in this instance. The head men's basketball coach, as with many other positions, must be of Mormon faith and actively practicing in the Church of Jesus Christ of Latter-day Saints, which Young does.

It also helped that Young was involved in BYU's search process the last time, when Pope ultimately won the job in 2019.