McBride said he suffered a groin injury, but isn't sure how serious it is yet.
Coach Tom Coughlin said McBride's absence was felt. "It did hurt us because you see the shuffling around that had to take place to get the proper alignment to try and defend their three- and four-wide passing," Coughlin said.
Cordle suffered a knee injury. He said an initial X-ray was negative and it's not an ACL tear.
"MRI tomorrow. Hopefully it's not serious. Definitely couldn't go back in," Cordle said.
Defensive end Jason Pierre-Paul, who has been playing through a shoulder injury, was spotted going into the X-ray room after the game.
"I'm OK," Pierre-Paul said. "I just hurt my shoulder, that's it. I'm OK. Physically, I'm OK."
Pierre-Paul had just one tackle and no sacks in the game.
Wide receiver Hakeem Nicks, who was listed as questionable but had said he would play against the Cowboys despite an abdominal injury, was declared inactive for the game.
Nicks had no comment upon leaving the Giants' locker room after the game.
When asked if Nicks was close to playing Sunday, Coughlin said, "He didn’t practice all week. We made the decision not to play him."