Preheat oven to 350° Fahrenheit
Combine the brown rice flour and quick oats in a bowl.
Add the peanut butter, yogurt, and water. Blend well using a hand mixer, a spoon, or your hands.
The dough will be sticky. Let it sit in the bowl for 15 to 20 minutes until it stiffens up a little.
Place the dough on a floured flat surface.
Roll out the dough until it is between ¼ and ½-inch thick. If the dough is still too sticky to roll, add a little more flour to make it drier.
Using your favorite cookie cutter, cut out as many treats as possible.
You can gather the dough scraps, re-roll, and cut out treats until all the dough is used.
Place the cutouts on a baking sheet.
Bake at 350 degrees for 20 to 25 minutes.
Transfer the baked treats to a wire rack. Cool the treats to room temperature.