In a large food processor, pulse the carrots and pecan halves until they are finely chopped. Add in the sugar, oats, flours, baking powder, baking soda, salt, ground cinnamon, ground ginger, and ground nutmeg. Pulse until everything is mixed. Add in the remaining ingredients and pulse until everything comes together into a pourable batter, and the largest bits are roughly the size of coarse coffee grounds. Pour the batter into the prepared baking pan.