Gather all your ingredients and tools.
Prepare the apple cider mixture by whisking together apple cider, granulated sugar, brown sugar, applesauce, eggs, vanilla extract, and melted butter in a medium bowl.
Mix the dry ingredients in a large bowl: gluten-free flour, baking powder, baking soda, ground cinnamon, ground nutmeg, and salt.
Combine the wet and dry ingredients, stirring gently until just combined.
Fill the donut pan cavities about 3/4 full with the batter.
Bake in a preheated oven at 350°F for 12-15 minutes until golden brown.
Prepare the cinnamon sugar coating by mixing granulated sugar and ground cinnamon in a small bowl.
Cool the donuts for about 5 minutes, then transfer to a wire rack and coat in the cinnamon sugar mixture.