Prepare the Filling: In a mixing bowl, combine pumpkin puree, brown sugar, granulated sugar, ground cinnamon, ground nutmeg, and vanilla extract. Stir until blended and chill for 15-30 minutes.

Roll Out the Pastry: Preheat oven to 400°F. Roll each puff pastry sheet to 10x12 inches and cut into 6 rectangles.

Assemble the Twists: Place a tablespoon of filling in the center of each rectangle, fold and pinch edges closed, then twist edges and place on a parchment-lined baking sheet.

Bake the Twists: Brush tops with egg wash and bake for 15-20 minutes until golden brown.

Cool and Serve: Allow to cool on a wire rack and serve warm for the full flavor experience.