Pumpkin Doughnuts- Baked

1/2 cup vegetable oil
3 large eggs
1 to 1 1/2 cups granulated sugar*
1 1/2 cups pumpkin purée (canned pumpkin)
1 1/2 teaspoons pumpkin pie spice, or 3/4 teaspoon ground cinnamon plus heaping 1/4 teaspoon each ground nutmeg and ground ginger
1 1/2 teaspoons salt
1 1/2 teaspoons baking powder
1 3/4 cups + 2 tablespoons flour

COATING
3 tablespoons cinnamon-sugar

INSTRUCTIONS

1. Preheat the oven to 350°F. Lightly grease two standard doughnut pans. If you don't have doughnut pans, you can bake these in a standard muffin tin; they just won't be doughnuts.
2. Beat together the oil, eggs, sugar, pumpkin, spices, salt, and baking powder until smooth.
3. Add the flour, stirring just until smooth.
4. Fill the wells of the doughnut pans about 3/4 full; use a scant 1/4 cup of batter in each well. If you're making muffins, fill each well about 3/4 full; the recipe makes about 15, so you'll need to bake in two batches (unless you have two muffin pans).
5. Bake the doughnuts for 15 to 18 minutes, or until a cake tester inserted into the center of one comes out clean. If you're making muffins, they'll need to bake for 23 to 25 minutes.
6. Remove the doughnuts from the oven, and after about 5 minutes, loosen their edges, and transfer them to a rack to cool.
7. While the doughnuts are still warm (but no longer fragile), gently shake them in a bag with the cinnamon-sugar. If you've made muffins, sprinkle their tops heavily with cinnamon-sugar.
8. Cool completely, and store (not wrapped tight) at room temperature for several days.
9. Yield: 12 doughnuts or 15 muffins.
10. 
    

https://www.kingarthurflour.com/recipes/pumpkin-cake-doughnuts-recipe

Someone suggested that if you cinnamon-sugar mixture won't stick-- brush lightly with some butter before you shake them.