He finishes the season with 20 1/2 sacks, one interception, two defensive touchdowns, three receiving touchdowns, three forced fumbles and five fumble recoveries.
Buffalo is a 5-point underdog on Sunday.
Barr's season comes to an end with 70 combined tackles, four sacks, two forced fumbles and three fumble recoveries in 12 games.
Buffalo is currently a 4 1/2-point underdog at New England. The line opened at 8 1/2 points.
The Bills will face the Patriots in Week 17.
His status remains uncertain for Sunday's regular season finale against the Raiders.