Garrett’s strip sack and fumble recovery midway through the fourth effectively sealed Cleveland’s win.
Mayfield’s 3-yard TD pass to rookie tight end Harrison Bryant with 11:14 left helped the Browns shake off a horrid third quarter, when Washington (1-2) scored two TDs to take the lead.
Chubb then scored on a 20-yard run with 8:40 left to make it 31-20, the TD coming after linebacker B.J. Goodson intercepted Haskins at the Washington 35.
Chubb finished with 108 yards on 19 carries.
Haskins threw two TD passes to Dontrelle Inman, but the second-year QB continued to make mental errors and his two picks before halftime helped Cleveland open a 17-7 lead.
Young came into the game tied for the league lead with 2 1/2 sacks, and the Browns spent the week scheming ways to slow him down.
Without Young, Washington’s defensive front lost some of its teeth and the Browns took advantage.
Mayfield’s 9-yard TD pass to Hunt in the final minute of the first half was set up by linebacker Malcolm’s Smith interception.
Down by 10, Washington’s defense turned it up without Young in the third quarter, and a TD run by Antonio Gibson and Haskins' second scoring connection to Inman put Washington ahead 20-17.
Chubb’s 16-yard TD in the second quarter came on one of the “dirty runs” that Stefanski talked about earlier in the week.
Taking a handoff and going right, Chubb cut back, made one Washington defender miss badly, ran out of another tackle and then powered his way over the final 5 yards to make it 10-7 in the second quarter.
The game marked the first time two female coaches were on the sideline with a female official on the field.
Jennifer King is on Washington’s staff, while Callie Brownson is the chief of staff for Stefanski. Sarah Thomas was the down judge.
Haskins, Young, Washington safety Landon Collins and defensive end Montez Sweat raised their fists during the national anthem. However, players on both sidelines stood throughout the playing.
Washington: Inman hurt his wrist in the fourth quarter. ... Besides Young, the defensive line lost more depth when tackle Matt Ioannidis injured his arm in the first half and didn’t return.
Browns: CB Denzel Ward (groin) started after being listed as questionable, but didn’t play in the second half. ... Returner/WR JoJo Natson (knee) and LB Tae Davis (elbow) also went out in the first half.
Washington: Host their neighbors, the Baltimore Ravens, next Sunday.
Browns: Visit Dallas next Sunday for the first time since 2012. Cleveland lost in overtime on its previous trip to Jerry World.