 His teams also earned invitations to the 1975 and 1981 Cotton Bowl Classic, the 1983 Astro-Bluebonnet Bowl, and the 1991 Copper Bowl.His Baylor teams were notable for success against the University of Texas, finishing with a 10–11 record against the Longhorns.By comparison, in the 15 seasons preceding Teaff's arrival and the 15 years following Teaff's departure, Baylor had a 1–29 record against Texas.