Preheat the oven to 375° Line 2 sheet pans with parchment paper.
Weigh or measure the sugars into a small bowl, set aside. In another bowl, weigh or measure the flour, baking powder, baking soda, cinnamon, nutmeg, allspice, salt, and run a whisk through to blend.
With a mixer, beat the sugars and the butter together until light and fluffy. On medium speed, add the egg, vanilla bean paste, pumpkin puree, and the applesauce and mix till blended*.
Scrape down the sides of the bowl and, at a low speed, gradually add the dry ingredients. Finally, add the chopped walnuts and mix for about 30 seconds. Once combined, cover and refrigerate for an hour.
Scoop out some cookie batter using a medium cookie scoop, and in your hands, make a ball. Add to a bowl with the powdered sugar and coat the ball. Then place on the cookie sheet pan. You can fit 12 balls on a pan. Bake for 12-13 minutes. Move to a cooling rack to cool. Enjoy!
*The mixture will have light-colored specks running through the whole batter this is only the small pieces of apple from the applesauce. Once the flour is added everything blends together.