Zoowee, maybe set up a low rise raised bed you can grow grasses in and water it only for a spot for the Greece to graze. Since you only have two geese, you could make two and keep one off limits while they eat the other, then switch so the first can recover and grow tall again. Just a thought to keep them in grass. Oddly enough geese love anything green to munch on, weeds, grass, hay field, beans, peas. New green growth and they are all over it.
We have the opposit problem, the geese can't keep up with the growth rate of our grass. Still have more fencing to finish and will have another spot they can graze