Place the granulated sugar and light brown sugar in a large glass bowl. Zest the oranges into the bowl. Using your fingers, gently pinch the zest with the sugars to help release the oils from the zest.
To the bowl, add the oat flour, gluten free all-purpose flour, baking soda, salt, and cinnamon. Whisk until combined. Gently fold in the roughly chopped fresh cranberries.