Green was 14-of-26 passing for 213 yards with an 18-yard touchdown pass to Willie Johnson and added a rushing touchdown. Knox rushed for 113 yards on 25 carries and scored twice.
The Herd (7-3, 5-1), who won their fifth straight, moved into a tie with Florida Atlantic atop the East standings. The Bulldogs (8-2, 5-1), who hadn't lost since falling to Texas in their season opener, are a half-game ahead of Southern Mississippi in the West.
Louisiana Tech opened the scoring with a 5-yard run by Justin Henderson, but a field goal and the touchdown pass put Marshall on top in the second quarter. In the final minute of the first half, Kevin Murphy recovered a fumble by Brady Farlow at the La Tech 1 and Knox punched it in with 40 seconds to go for a 17-7 lead.
The Bulldogs kicked a field goal in the third quarter but that was all they could manage.
Marshall piled up 405 yards of offense, while La Tech was held to 261.
Tennessee's Trey Smith wins Jason Witten Man of Year Award
Trey Smith has led coat drives for the Knoxville Area Rescue Ministry each of the past two seasons. Over 1,000 coats were donated each year.
Court filing alleges NCAA recruiting violation under Mark Dantonio
Former Michigan State football recruiting director Curtis Blackwell visited the home of a five-star recruit along with Mark Dantonio and other coaches in 2015, a potential NCAA recruiting violation, according to a filing Tuesday in an ongoing lawsuit.
NCAA studies idea of 1 transfer with no penalty
The NCAA Division I transfer waiver working group is considering a concept that would allow athletes in all sports to transfer once without sitting out a year of competition.
Three Connecticut players face charges in campus burglary
UConn running back Khyon Gillespie and defensive backs Oneil Robinson and Ryan Carroll face charges of burglary, larceny and making false statements stemming from an on-campus burglary on Nov. 23.
Clemson, Georgia to meet in 2021 opener in Charlotte
Clemson and Georgia will open their 2021 seasons with a neutral-site matchup in Charlotte.
Sources: Charlie Strong joins Nick Saban's staff at Alabama
Former head coach Charlie Strong has joined Nick Saban's staff at Alabama, where he'll be a defensive analyst.