Preheat oven to 350°. Whisk ground flax and water until combined and let sit to gel for about 10 minutes.
Mix together gelled flax, banana, coconut oil, maple syrup, and vanilla (I used an immersion blender, but whisking well will be fine) in a medium bowl.
In a large bowl, whisk together flour, oats, cinnamon, baking soda, baking powder, and salt. Add in wet ingredients and stir until just combined.
Fold in carrots and walnuts. Pour into a greased loaf pan, top with additional walnuts, and bake for about 40 minutes.
Let cool in the pan for 20 minutes. Remove from pan and let cool completely. Serve plain, or with ghee, butter, nut butter, or some blueberry chia jam.
Recipe by at https://goodwitchkitchen.net/gluten-free-vegan-carrot-banana-bread/