Before we immediately jump to the worst case scenario, which is below, let's rule out other things first. What kind of bedding are you using? Have you changed it recently? Do they have access to water deep enough to submerge their head in and clear their nares?
Worst case, it could also be a respiratory infection. Adult geese can carry mycoplasma with no signs, or low egg fertility being the only sign. If they have it, they can pass it to their offspring, and that might be what you're seeing.
You can try getting some Denagard and putting them on it to see if that clears it up. But be aware that they would be lifetime carriers, and you should never sell them, their offspring, or eggs to anyone else because you would be passing on the disease.
Now, it could be other things too, so you might want to have them testing for it. There's a lab called Zoologix that will do it for you if you send them a sample.
