Preheat oven to 350°F and line two baking sheets with parchment paper.
In a food processor, combine flour, dark brown sugar, ginger, cinnamon, baking powder, baking soda, and salt.
Add butter cubes and process until butter is in tiny bits. Add molasses and honey.
Process on low speed until thick crumbles form and the wet ingredients are evenly distributed.
Remove the blade attachment and use your hands to form the crumbles into a dough.
Divide the dough into 1 1/2 tablespoon-sized balls using a spring-loaded scoop and drop onto prepared baking sheets, spacing 4" apart. Gently flatten dough with the smooth side of a spatula.
Bake for 10–11 minutes until flattened and crisp at the edges.
Cool cookies on baking sheets for 5 minutes, then transfer to a wire rack to cool completely.
Video
Notes
Storage: Store the cookies in an airtight container for 2–3 days at room temperature, or up to one week in the fridge.