In a large bowl cream together butter, shortening, 1 cup sugar, and brown sugar.
Mix in pumpkin puree and egg.
In a separate bowl sift together flour, baking powder, soda, salt, cinnamon, and pumpkin pie spice.
Add dry ingredients to pumpkin mixture.
Roll dough into 1-inch balls and roll in additional ½ cup sugar.
Place dough on ungreased cookie sheets (we lined our baking sheets with parchment paper) and bake for 7-9 minutes, or until lightly browned.
Remove from the oven and gently press a Hershey's Kiss into the center of each cookie.
Let cool completely.
Notes
The most common spices used in pumpkin pie are cinnamon, nutmeg, ginger, allspice and cloves. These cookies have pumpkin spice in them, which is a combination of all of those ingredients.