Newton completed his first pass to McCaffrey — for a loss of 3 yards — midway through the second quarter.
Jones caught a 14-yard pass midway through the third quarter to reach 9,000 career yards faster than any receiver since the 1970 merger.
The two-time All-Pro and five-time Pro Bowl selection last month set the league mark with the most catches and yards receiving in a receiver’s first 90 games.
Jones finished with five catches for 80 yards. He survived an injury scare after he took a big hit from Carolina strong safety Mike Adams on the opening drive. He returned to the field on the same drive, which ended with Ryan’s touchdown pass to Freeman.
Kirk Cousins, who also might be playing his last game for the Redskins, scored on a 12-yard run for Washington (7-9), which has missed the playoffs the past two years. He was 20 of 37 for 158 yards and three interceptions.
“We have to have stability at that position, somehow, some way. Not everybody has it,” Redskins coach Jay Gruden said.
“That’s the way it is in pro football nowadays. If you’ve got one, you’d like to keep one. We’ll have to make that decision here pretty soon. Kirk will also. It’s not totally up to us. Kirk’s got to buy in also.”
Cousins, who finished with his third consecutive 4,000-yard passing season, sidestepped questions about his future.
“I need to catch my breath. We’ll have plenty of time,” he said, adding he might have more to say on a radio show Friday.