McAllister made nine changes to the side that started their last league game and Andy Robinson's late winner booked their place in the draw for the next round.
Andrew Hughes and Neil Kilkenny were the only survivors in the starting line-up from the side that defeated Carlisle United last weekend.
"I was delighted that the players came through it well, every one of them is right on the edge of the first team," he said.
"Competition is fierce which is good to see and we kept the unbeaten run going."