Theodhosi, with 21 carries, had his second 100-yard game this season after missing the 2010 and 2011 campaigns with knee injuries.
Donnelly hit Andrew Marks with a 7-yard pass with 4:02 elapsed to open the scoring. After the Hoyas tied it at 10 with 11:22 left in the first half, Theodhosi scored on an 18-yard run.
Stephen Skon, making his first career start after leading Georgetown over Princeton 21-20 last week, generated only 159 yards total offense for the Hoyas (3-2) compared to Brown's 361.
Alex Norocea kicked three Bears field goals.
Former Hawaii quarterback Nick Rolovich will take over his alma mater and said Monday he plans to focus on the bonds his players develop with one another, not on any specific offense or defense.
The first bowl matchup is set, with Western Michigan joining Middle Tennessee in the Bahamas Bowl, a source said.
The Big Ten issued its first batch of postseason honors on Monday night, unveiling its All-Big Ten teams and individual awards on defense and special teams.
USA Today's Dan Wolken joins The Paul Finebaum Show to weigh in on Mark Richt's exit and his possible replacement.
SEC Network analyst and former LSU player Marcus Spears weighs in on the LSU coaching situation.
SEC Inside, the new show on SEC Network Wednesdays this fall, highlights the sights and sounds of SEC football.