The Bulls conceded four tries in the opening 15 minutes at the Salford City Stadium before eventually going down 46-18.
"It was a horror start," Cummins told Sky Sports News. "Defensively we were pathetic. We were not even doing the basics.
"Salford played well and they have some good players who can unlock defences, but they were going through untouched through the middle and that's poor."
Bradford, who are now eight points adrift of safety, return to action on Friday when they host Hull Kingston Rovers.