The Wildcats defense held the Tornados to 234 total yards and minus-4 yards rushing and scored a safety when Brendan Simpkins tackled Bobby Clerisier in his own end zone for a 2-0 lead.
McGuire's 6-yard TD run in the second quarter was set up by William Wicks' 40-yard punt return and aided by an unsportsmanlike conduct penalty against the Tornados.
Dugger scored on a 10-yard run and gained 198 yards on 31 carries but lost two fumbles. Shaw scored on an 18-yard run.
Tyler Gregory scored on a 6-yard run for Brevard, his only carry. Jason Nieradka had 17 tackles.
Oliver gets heated with head coach
Ed Oliver confronts his coach Major Applewhite on the sidelines of Houston's game over a jacket.
Houston star DT Ed Oliver in heated incident with coach Major Applewhite
All-American defensive tackle Ed Oliver got into a heated discussion with Houston coach Major Applewhite just before halftime of the Cougars' game against Tulane on Thursday night.
Toledo bowl eligible with 56-34 win over Kent State
Bryant Koback ran 17 times for 192 yards and two touchdowns on Thursday night, and Toledo became bowl eligible with a 56-34 win over Kent State.
Carr takes it to the house for 21-yard TD
Patrick Carr runs right up the middle for a 21-yard Houston touchdown early in the first quarter.
Cal cancels hoops game due to poor air; Sat. football game in jeopardy
Cal was forced to cancel Thursday's men's basketball game against Detroit Mercy due to poor air quality brought on by wildfires in the region. Saturday's football game against Stanford also is in jeopardy.
Gators need to keep fighting
Florida head coach Dan Mullen joins The Paul Finebaum Show to discuss what his team needs to do to reach a New Year's Six bowl game.