Preheat oven to 350 degrees F (176 C). Butter and flour two 8-inch, 1 9×13-inch, or 3 6-inch round pans with coconut oil or vegan cooking spray and dust with gluten-free flour (adjust number/size of pans if altering batch size). Shake out excess. Set aside.
Prepare flax eggs in a large mixing bowl. To flax eggs, add oil and maple syrup and whisk to combine. Next, add applesauce, sugars, salt, baking soda, baking powder, and cinnamon and whisk to combine.
Add lesser amount of almond milk (3/4 cup or 180 ml as original recipe is written // adjust if altering batch size) and stir. Add grated carrot and stir. Then add almond flour and gluten-free flour blend and stir. The batter should be thick but pourable. If too thick, add remaining almond milk 1/4 cup or 60 ml as original recipe is written // adjust if altering batch size). If adding walnuts, add at this time and stir.
Divide evenly among cake pan(s). Bake for 40-50 minutes or until deep golden brown and a toothpick inserted into the center comes out clean. When you press on the top, it shouldn’t feel too spongy, so don’t be afraid of over-baking! The gluten-free blend just takes a little longer to bake. Also, note that the size of pan you use will vary baking time.
Remove from oven and let rest in the pans for 15 minutes. Then carefully run a knife along the edges and gently invert onto cooling racks to let cool completely.