Royer made 7 of 8 3-point attempts and Eversley was 3 for 3 as the Mustangs (14-12, 9-6 Big West) converted 12 of 15 shots beyond the arc and shot 58 percent overall.
Jamal Johnson added nine assists for Cal Poly, which swept the season series from the Matadors.
The Mustangs scored 12 straight points to take a 23-9 lead and closed the first half with an 8-0 run to go ahead 38-22. The lead reached as many as 21 points in the second half when Eversley hit a 3-pointer with 13:12 remaining to make it 57-36.
Former Kentucky guard Ed Davender, the only Wildcat with at least 1,500 points and 400 assists, has died. He was 49.
Guard Naz Mitrou-Long, whose 2015-16 season ended in December due to hip problems, has been granted a hardship waiver for the coming season, Iowa State said.
As the Sooners look to life without superstar Buddy Hield and his sidekicks, it's clear their unseasoned players will need to grow up fast.