Gluten Free Carrot Cake Doughnuts

Name: Gluten - Free Carrot Cake Doughnuts
Ingredients: 1 1⁄2 tablespoons ground flax seeds; 1⁄4 cup hot water; 1⁄3 cup brown rice flour; 1⁄4 cup chickpea flour; 1⁄4 cup arrowroot; 1⁄2 teaspoon guar gum; 3⁄4 teaspoon baking powder; 1⁄2 teaspoon cinnamon; 1⁄4 teaspoon nutmeg; 1⁄4 teaspoon ginger; 1⁄4 teaspoon salt; 2 tablespoons ground pecans; 3 tablespoons cream of rice; 2 tablespoons fine cornmeal; 1⁄3 cup unsweetened vanilla almond milk; 3 tablespoons brown sugar; 2 tablespoons maple syrup; 1 tablespoon oil; 1⁄2 tablespoon vanilla; 2⁄3 cup finely grated carrot (1 large); 1⁄4 cup medium-shredded unsweetened coconut