Preheat oven to 350°F.
Mix flour, baking soda, baking powder, salt, cinnamon, ginger, allspice, and nutmeg together in a bowl.
In a second bowl, mix sugar, brown sugar, butter, eggs, and pumpkin puree.
Gradually mix dry ingredients into wet ingredients. Beat until smooth.
Fill each prepared cupcake mold about 3/4 full.
Bake for about 30 minutes. Cupcakes are done baking when toothpick inserted into center comes out clean.
When cupcakes are cool, frost as desired.