Preheat your oven to 350 F (180 C) and grease your doughnut pan.
Combine the first 12 ingredients (oat flour through to ground cloves) in a large bowl, mixing well. In another bowl, whisk the eggs together, then add the milk, pumpkin purée, applesauce, oil and vanilla. Whisk until well combined.
Pour the wet mixture into the dry ingredients and stir with a large wooden spoon until just combined, being careful not to over mix (stop when you no longer see dry flour).
Spoon the batter into the doughnut molds filling to just below the top of each mold, 1/8- to 1/4-inch (3 to 6 mm) from the top. Bake for 18 to 22 minutes (see notes), until lightly golden brown around the edges. A toothpick inserted in the center should come out clean. Let cool in the pan for 5 minutes. Slide a thin spatula around the edges of the doughnuts to help loosen them out. Then place on a cooling rack and allow to cool fully before topping.