Preheat oven to 350°F and line two baking sheets with parchment paper.
In a food processor, combine flour, sugar, ginger, cinnamon, baking powder, baking soda and salt.
Add butter and process until butter is in tiny bits. Drizzle in molasses and honey.
Blend on low speed until thick crumbles start to 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 smooth side of a spatula.
Bake for 10-11 minutes until flattened and crisp at the edges.
Cool cookies on baking sheet for 5 minutes, then transfer to wire racks to cool completely.