As part of the Cotton Bowl Classic , the first game of the last year of the 20th century was played between the Arkansas Razorbacks and the Texas Longhorns .
The Arkansas Razorbacks , now a member of the SEC ( as of 1992 ) , and Texas Longhorns , now a member of the Big XII ( as of 1996 ) faced off in the first college football game of the last year of the 20th Century .
Cotton Bowl Classic