Zfan,
I've done this several times using needle-nosed pliers to squeeze the end of the rod through the hole in the door handle. Hard to explain, but position the pliers so that one jaw pushes the end of the rod/plastic bushing and the other jaw of the pliers is pushing on the part of the door handle that the rod goes through. A little silicone lube spray helps too. Don't worry if you've bent the rod, bend it back to the approx. shape and it should work.