Preheat oven to 375 degrees F. Butter donut pan.
Pour apple cider into a saucepan and place over medium high heat. Simmer and let cook until it’s reduced to ½ cup. Set aside.
Combine flour, baking powder, baking soda, salt, 1 teaspoon cinnamon, and nutmeg in a large bowl. Set aside.
Combine ½ cup white sugar, brown sugar, milk, 2 tablespoons melted butter, vanilla extract, and egg in a bowl together until combined. Add these ingredients and the apple cider reduction to the dry ingredients. Do not over mix.
Pipe batter into the prepared donut pan(s), filling them about ¾ of the way up. We used a gallon sized plastic bag and cut the corner off and it worked just fine!
Bake about 10-12 minutes or until the tops are lightly browned. Let cool in the pan for about 10 minutes.
While slightly warm, dip each donut in melted butter. Mix 1 cup white sugar and 1 tablespoon cinnamon together in a bowl. Toss the donuts to coat.