Preheat oven to 350 degrees. Line baking sheets with parchment paper. Add ⅓ cup granulated sugar to a small bowl. Set aside. Add 2 Tbsp. granulated sugar and 1 Tbsp. powdered sugar to another small bowl. Set aside.
Combine shortening, butter, brown sugar, and granulated sugar in a large mixing bowl. Mix with an electric mixer until smooth and creamy.
Add molasses, egg, and vanilla extract. Mix.
Add cinnamon, ginger, cloves, salt, and baking soda. Mix.
Add flour, 1 cup at a time, and mix until just combined.
Scoop dough into 3 tablespoon-sized balls. Place a cookie dough ball into the small bowl of granulated sugar, roll around, then flatten slightly into a hockey puck shape. Repeat for all cookies.
Place cookie dough pucks on a baking sheet, 6-8 cookies per sheet.
Sprinkle the tops of the cookies with a thin layer of the powdered sugar/granulated sugar mixture.
Bake cookies for 12 minutes (see baking chart in notes section for adjustments for smaller or larger cookies).
Allow cookies to cool on the baking sheet.
