Lightly spray two 6-cavity doughnut pans with cooking spray and set aside.
In a stand mixer, or with a hand mixer, cream together the 10 Tbsp room temperature butter, ¾ cup brown sugar, and ¼ cup sugar until light and fluffy.
While still mixing, add the vanilla and eggs and beat until creamy.
Add flour and mix until combined. While still mixing, beat in ½ cup apple cider.
Mix in baking powder and spices. Add 1¼ tsp baking powder, ¾ tsp salt, 2 tsp cinnamon, ½ tsp ground nutmeg, ¼ tsp ground cloves. Mix until combined.
Using a spoon or piping bag, pipe batter into the prepared doughnut pan, filling each cavity ⅔ of the way full.
Bake 12 minutes or until a toothpick comes out of the center clean. If the holes bake over, trim immediately after removing from the oven.
To store long-term, suggest storing the doughnuts after they have cooled, and proceeding with dusting with cinnamon sugar immediately before serving.