Maine led 14-0 early in the second quarter before Hood scored from 2-yards out. Hood then capped off a 7-play, 83-yard drive with a 1-yard run to help the Black Bears take a 28-0 lead.
Hood finished with 102 yards on 14 carries. It was the first time since 2008 that Maine had two players rush for 100 yards.
Maine's defense held Bryant to just 186 yards on 59 plays (3.2 yards per play) and forced two turnovers in the win, including Khari Al-Mateen's 77-yard interception return for a touchdown.
The two squads played each other for the first time last season, with Maine coming away with a 28-13 victory.
Jordan Brown led Bryant with 63 yards rushing.
Running back Devontae Booker had 124 combined yards and a touchdown and Utah spoiled Jim Harbaugh's Michigan coaching debut, beating the Wolverines 24-17 on Thursday night.
ESPN 300 running back Elijah Holyfield, the son of former heavyweight boxing champion Evander Holyfield, has decided to stay home and attend Georgia, he announced Friday.
Arizona star linebacker Scooby Wright will have an MRI after injuring his left knee in the first quarter of the Wildcats' season-opening 42-32 win over UTSA on Thursday night.
Miami reserve linebacker Al-Quadin Muhammad has been suspended for the season opener against Bethune-Cookman on Saturday for a violation of team rules, a source confirmed to ESPN.com
Trevone Boykin threw for 246 yards and a touchdown and ran for 92 yards and another score to help No. 2 TCU outlast Minnesota 23-17 on Thursday night.
All-American defensive end Shawn Oakman and safety Orion Stewart have been suspended for Baylor's season opener Friday against SMU for a violation of team rules, a school spokesman told ESPN.com.