Preheat your oven to 350°F (175°C) and grease your donut pan with a light coating of oil or non-stick spray.
In a large mixing bowl, combine pumpkin purée, brown sugar, vegetable oil, and eggs. Whisk until smooth and well blended.
In a separate bowl, whisk together the flour, baking powder, cinnamon, nutmeg, and salt until fully combined.
Gradually add the dry ingredients to the wet ingredients and stir gently until just combined—do not overmix!
Fill each cavity of the donut pan about 2/3 full with batter using a piping bag or a spoon.
Bake for 12-15 minutes, or until a toothpick inserted into the center comes out clean.
Allow the donuts to cool in the pan for 5 minutes before transferring them to a rack to cool completely.
For a sweet finish, drizzle with a simple glaze made from powdered sugar, vanilla extract, and milk or roll in cinnamon sugar.