I have three cats that sneezed like this. I ask my vet what could this be ? He asked me if there was any thing new in the house. I said yes, an exercise ball. He said put the ball outside so it can off gas. He also talked about other things it may be....any thing with chemicals in it, basially, that the animal is breathing. Laundry detergent, fabric softener, especially the sheets that go into the clothes dryer, soaps, cleaning agents...all those things can cause this sneezing.
I put the new exercise ball out side and all three cats stopped sneezing.