Heat oven to 350°F. Line two baking sheets with parchment. Put rolling sugars in separate shallow bowls.
Whisk flour, baking powder, baking soda, salt, pumpkin pie spice, and cinnamon in a medium bowl.
Cream butter, granulated sugar, and brown sugar in a large bowl until light and fluffy, 2–3 minutes.
Beat in pumpkin puree and vanilla until smooth and fully combined.
Stir in dry ingredients just until a soft dough forms. Chill the bowl 15–20 minutes to firm slightly.
Scoop tablespoon portions. Roll each in granulated sugar, then thickly in powdered sugar. Arrange 2 inches apart.
Bake 11–13 minutes until puffed and crackled with set edges. Cool 5 minutes on the sheet, then rack cool.