The Loftus Road club remain in deep Premier League relegation trouble after losing 3-2 at Craven Cottage, where they gave their hosts a three-goal head start.
Dire defending from Christopher Samba allowed Dimitar Berbatov to score from the penalty spot before adding a second prior to a Clint Hill own goal.
And although QPR staged a comeback through Adel Taarabt and Loic Remy, who had earlier missed a penalty, while Fulham had Steve Sidwell sent off, Redknapp was less than happy.
"A disastrous first half cost us, they were the worst goals I've seen in my life," he told Sky Sports. "They were scandalous goals. It was an absolute disaster.
"We came out in the second half and murdered them. We missed another penalty which has cost us again.
"We had enough possession in the second half, when it went 3-2, I thought we would win the game.
"We had twice as many shots as them. I was disappointed with the last 10 minutes. We suddenly started lumping balls up, we opened them up by passing the ball."
QPR face fellow strugglers Wigan on Sunday and Redknapp admits they must win to stand any hope of survival.
"We are not giving up," he added. "We have to beat Wigan on Sunday, that is where we are at now. We need another 14 points from the remaining games and we have to try to do that.
"We have to win four and draw two but it is getting harder."