Preheat oven to 350 degrees.
In a large bowl, mix together eggs, oil, applesauce, pumpkin, brown and granulated sugar, salt, vanilla, baking powder and pumpkin pie spice until well blended.
Pour into donut pan, filling about ¾ of the way.
Bake in a 350 degree oven for 18-20 minutes. Test with a fork or toothpick and remove donuts from oven when fork comes out clean.
Combine 3 tablespoons of granulated sugar with a dash of cinnamon and a dash of pumpkin pie spice in a shallow plate. When the donuts come out of the oven, remove them from the pan and dip both sides in the sugar mixture.