On an afternoon of high drama in the competition, the Bees sent shockwaves through the game with a 1-0 win in Yorkshire.
The National League club held firm after Shaquile Coulthirst’s 21st minute penalty put the North London club in front.
They weren’t about to let it slip and they go into Monday’s draw after goalkeeper Mark Cousin’s late heroics.
Coulthirst says he wants Arsenal next but Bees caretaker boss Darren Currie said: "I am proud as punch of the boys. Chris Wilder said we deserved it after too.
"I can't put it into too many words - it is such a wonderful occasion for everyone.
"We had a game plan to get through the early part of the game and nullify them and we grew into it.
"The penalty came from a good bit of play and then we had something to protect. There were one or two scary moments but we came through it."