Soak the cashews in water for at least 1-2 hours, or if you're short on time, boil water and soak for at least 30 minutes.
Preheat the oven to 425, and spray coconut oil or oil of your choice on 2 cake pans.
Make the flax "eggs" - in a small bowl, combine ground flax with 9 tbsp. of warm water. Whisk with a fork, and set aside for about ten minutes, whisking every few minutes.
Combine the flour, baking powder, baking soda, spices and salt in a large mixing bowl.
Rinse and drain the cashews and place in a high powered blender. Add 1/2 c. water, and blend on high.
Stir in the sugars to the cashew cream, and then slowly pour the liquid mixture into the dry mixture. Add the flax "eggs" and the vanilla, and then the carrots. Stir well.
Pour the batter into two cake pans, and place on the middle rack of your oven. Bake for 30-35 minutes, until a toothpick comes out clean.
Let the cakes cool completely.