Preheat oven to 350 degrees Fahrenheit. Line a large baking sheet with parchment paper. Set aside.
In the bowl of a food processor (or large bowl), add the melted butter, cane sugar, maple syrup, pumpkin, and vanilla extract. Pulse for about 20 seconds or mix with electric mixer if using a bowl.
Add almond flour, coconut flour, salt, baking soda, baking powder, arrowroot starch, and pumpkin pie spice and process until a dough forms. Allow dough to sit for about 5 minutes.
Use a tablespoon to scoop dough. Roll into a ball with your hands and place on cookie sheet. Use the palm of your hand to press dough balls about halfway down (a piece of parchment paper helps if it is sticky). Bake for 8-11 minutes. Remove from oven and transfer cookies to a wire rack to cool completely.
While your cookies are cooling, make your glaze. In a small bowl, whisk the powdered sugar, melted butter, non-dairy milk, and vanilla extract until a glaze forms. If too liquidy, add a little more powdered sugar. Frost cooled cookies with glaze and sprinkle with ground cinnamon.
Store in an airtight container for 2-3 days.
Notes
To store: Keep these vegan pumpkin cookies in an airtight container at room temperature for 2-3 days. To freeze: Place cookie dough balls on a baking sheet in a single layer and place in freezer until frozen. The transfer frozen balls to a freezer-safe ziploc bag or airtight container. Dough can be stored in the freezer for up to 3 months. Bake in a preheated oven from frozen. Then slight press down on cookie after baking.