Preheat oven to 350°F (175°C). Spray a donut pan with nonstick cooking spray.
In a medium bowl, whisk together flour, baking powder, baking soda, salt, and pumpkin spice.
In another bowl, whisk together pumpkin puree, eggs, oil, brown sugar, granulated sugar, and vanilla until smooth.
Gradually add the dry ingredients to the wet ingredients and stir until just combined. Don’t overmix.
Spoon or pipe the batter into the donut pan, filling each cavity about ¾ full.
Bake for around 10 minutes, or until a toothpick inserted comes out clean.