In bowl of food processor, combine flours, cheese, salt, and garlic powder. Add butter cubes and pulse until crumbs are formed. Blend in egg until dough comes together around the blade.
Turn dough out onto a sheet of plastic wrap. Form into 1 inch log. Wrap tightly in plastic wrap and chill at least 2 hours.
Preheat the oven to 375 ° . Line several baking sheets with parchment paper or silicone mats.
Slice the log into thin coins and distribute them on the prepared sheets, leaving at least 1-inch space. Bake for 15 minutes.
Cool on rack. Package in airtight container. Freeze for longer storage.