Preheat your oven to 350°F (175°C) and line a cookie sheet with parchment paper.

In a large mixing bowl, cream together the softened butter, granulated sugar, and brown sugar until light and fluffy.

Beat in the egg and pumpkin puree until well combined.

Gradually mix in the flour, baking powder, baking soda, pumpkin pie spice, and salt.

Scoop balls of dough and place them 1 inch apart on the prepared cookie sheet.

Bake for about 14 minutes or until set.

For the frosting, beat together the cream cheese and vanilla extract until smooth, then gradually add powdered sugar.

Once the cookies are cooled, spread frosting on half of the cookies and sandwich them with the other half.