The Cowboys were helped earlier in that drive when A&M's Jonathan Stewart hit Anyiam when he was out of bounds and the penalty tacked on 13 yards to the 9-yard reception.
Kenric McNeal caught a 33-yard pass from Tannehill on the second play of A&M's next drive, but fumbled, giving the Cowboys the ball right back.
They took advantage of the error and got their first lead of the game, 24-20, when Weeden hit Moore in the back of the end zone for the TD.
On a repeat of their last drive, Texas A&M just got one play in before turning the ball over on the second. This time Tannehill was intercepted by Brodrick Brown.
The Aggies caught a break, though when Blackmon caught an 8-yard pass and was heading toward the end zone when he fumbled at the 2-yard line and the ball rolled out of the back of the end zone for a touchback.
But Texas A&M didn't get anything out of it when Tannehill threw another interception on the next drive which Oklahoma State converted into a short field goal that pushed the lead to 27-20 early in the fourth quarter.
Tannehill got A&M going on the fourth play of the game when he faked a handoff to Cyrus Gray and dashed 65 yards up the middle for a touchdown to make it 7-0.
The Aggies put together a 10-play, 86-yard drive capped by a 17-yard touchdown pass to Fuller to go up 17-3 early in the second quarter.