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.
SEC Network's Paul FInebaum discusses the recent string of unnecessary bad events for the Aggies.
ESPN's Tom Luginbill visits the Finebaum Lounge to discuss Texas A&M's Moorehead's Twitter rant and the evolution of recruiting.
SEC Network's Marcus Spears talks with Paul Finebaum about Texas A&M coach Aaron Morehead's twitter rant.
In this week's Big 12 roundtable, we discuss -- what else? -- Big 12 expansion. Should the league grow this summer?
Houston Chronicle's Brent Zwerneman joins The Paul Finebaum Show to discuss WR coach Aaron Moorehead's Twitter rant and backouts from Aggie recruits.
Former Auburn OT Shon Coleman joins The Paul Finebaum Show to discuss overcoming his battle with cancer and being drafted by the Cleveland Browns.