Barnet manager Lawrie Sanchez was at a loss to explain how his side lost to Crawley.
The Bees went ahead early on through a Ricky Holmes strike but John Dempster and substitute Scott Davies sealed victory for the Red Devils, who held on despite the dismissal of Sergio Torres in injury time for a dangerous tackle on Clovis Kamdjo.
"You do have to wonder what we've got to do to win a football match," said Sanchez. "I should be crying really, I don't know what to say. We could have had three or four goals. The front two terrified them but you have to score.
"Someone said to me football is all about goals, what happens in between doesn't mean anything, and they're right. The only thing that counts is the goals and we haven't got them.
"Straight after half-time out of nothing they are back into it. Then a speculative shot from 30 yards goes in and you're thinking how on earth are we 2-1 down?
"Everybody else is safe now, it's between three teams. It will come down to the Hereford game next."