Preheat oven to 350 degrees F. Line baking sheets with parchment or coat with cooking spray.Advertisement
Cream oil, butter, sugar, egg and lemon zest in a large bowl with an electric mixer until smooth. Sift together flour, cornstarch, ginger, cinnamon, baking powder, baking soda and salt in a medium bowl. Stir the dry ingredients into the wet ingredients just until combined.
Divide dough into 2 portions. Roll out each portion on a floured surface to a thickness of slightly more than 1/16 inch. Sprinkle with the sugar (if desired), lightly pressing it in with the rolling pin. Cut out shapes with a cookie cutter and place 1/4 inch apart on the prepared baking sheets. Bake one sheet at a time until lightly colored, 10 to 12 minutes. Let cool 2 minutes, then remove cookies to a rack to cool.
Make Ahead Tip: Store in an airtight container for up to 1 week.
1/2 other carbohydrate, 1/2 fat