can u go to youtube and search for reverse sneezing in dogs and see if ur poodle sound like that? then only i can share what i know...

This is based on my experience or rather my son's.

A few possibilities y they reverse sneeze :

1. furball inside stomach (rectify with laxative)
2. sensitive towards perfume, smoke, strong scent shampoo, fur/dirt (yes, they can be allergic to other type of fur besides their own..LOL). Once, i was cooking curry and my son choke/reverse sneezed. So u hv to monitor what triggers him to do so.
3. throat inflamed

So what my vets advised is

1. top up with good supplements that boost their immune system (for me, i take DMG)
2. if they reverse sneeze for more than a few mins NON-STOP and tongue turns blue, seek help immediately (once, i brought my son for after office hours consultation at 11.30pm)
3. if u notice that there is phlegm when they cough, they need antibiotics

Otherwise, they r just fine. No definite cause y this happens and it will be with them forever. We can only prevent or minimise attacks.

Since two terrible attacks last 1-2 yrs ago, my son rarely exhibits such symptoms now. Once in a blue moon, he will go breathless and i will quickly pop a DMG tablet into his mouth. It works almost instantly.
Hv u gone to see ur vet regarding this? He can explain to u further abt ur poodle's condition. Usually small breeds hv this prob due to their narrow trachea.