Since the 2002 Rose Bowl game (first time Big 12 played in the game in BCS era) the Big 12 has a 3-1 record. This includes a win by OU and two by Texas. Nebraska is the lone loss. Note I did not count TCU's win vs. Wisky. In that same time frame the B1G has a record of 2-10. Just something I found interesting.
https://www.britannica.com/sports/Rose-Bowl-football-game
https://www.britannica.com/sports/Rose-Bowl-football-game