Barry Lasenthal said he played football at A&M, presumably Texas A&M, and they lost to Nebraska all four years. Texas A&M and Nebraska have never played four consecutive years. They don't use real situations on a sitcom or fictional show. Real situations involve real people. This is done to protect the real people and situations.
Barry Lasenthal claims to have graduated from "A&M", implying Texas A&M, but the character is not wearing the iconic Aggie ring that any graduate would never be seen in public without.