The match had moved into the first of three added minutes when the Bantams` on-loan midfielder Tom Adeyemi unleashed a 25-yard shot which rebounded off the underside of the crossbar and back into play.
However, the linesman ruled that the ball had crossed the line - a decision that led to protests from the Millers players.
Moore said: "In the second half, we steam-rollered them and I could only see us winning the match. Bradford were more than happy to have a draw and to have the match snatched off our players by the linesman was hard to take.
"I have spoken to three of the Bradford players and they all said it wasn't a goal but the linesman has ruled that the ball has crossed the line.
"I felt for the referee. He didn't think the ball had gone in, but he has to go with his linesman. Every one of my players didn't think it was a goal and three of their players as well - they can't all be wrong. It is just frustrating."