The victory was the first for new Bulldogs coach Tony Reno.
The Hoyas (2-1), driving from their own 25, had first-and-10 on the Yale 17 when Bibb picked off an Aaron Aiken pass with 33 seconds remaining.
The Bulldogs, who have won six straight season openers against Georgetown, opened the scoring on Varga's 2-yard TD, capping a 90-yard drive.
Claytor Dalen gave Georgetown a 21-17 lead on a 32-yard rush, but Varga's 9-yard run put the Bulldogs ahead for good.
Corey Robinson is returning for his senior year on the gridiron at Notre Dame while also assuming the responsibilities of student-body president.
Baylor will hire more counselors and provide additional training for faculty in an effort to improve the school's response to sexual assault incidents, school regents said Friday.
Answering questions about the hype around two young quarterbacks, whether Stanford will sooner or later fall back into mediocrity and more.
FOX Sports' Clay Travis joins The Paul Finebaum Show to discuss the possibility of losing Tigers football to budget cuts.
The Naismith Memorial Basketball Hall of Fame announced 14 finalists for the Class of 2016 on Friday, including Allen Iverson, Tom Izzo, Shaquille O'Neal and Yao Ming.
Discussing the transfer of Barry J. Sanders to Oklahoma State, what the latest staff movement means for Charlie Strong and TCU's linebacking corps.