The game went into extra-time and with penalties looming the Cutlers came back and scored three goals in eight minutes. Alan Quinn's ripping shot smashed the post before going in off keeper Neil Cutlers back side on 108 minutes.
Michael Tonge punished the visitors with roaring free kick on 112 and Jack Lester, making his first appearance of the new season finished the rout.
"The cup is all about being in the hat for the next round and there are a number of clubs that would have hoped they got our result," said Warnock.
"But I don't enjoy that type of game at all, I think I should go scouting instead."
The former Huddersfield Town manager was outranged by a tackle inflicted on Alan Quinn by Jim Goodwin which left the former Owls midfielder in pain on the floor. Warnock insisted it was "a coward's tackle" and was worthy of a red card.