Make your flax eggs by mixing flax and water. Set aside refrigerated for 10-30 minutes.
Preheat oven to 350 degrees.
Mix together your wet ingredients until smooth. Pour in dry ingredients and mix until just combined.
Pour batter into a lined or greased 8x8 baking dish.
Bake cake for 35-40 minutes. Let cool completely, for about 30 minutes.
Add coconut sugar to a high powered blender. Blend until powdered. Add in remaining ingredients and blend until smooth. Spread icing on cake. Let icing set on the cake for 10-20 minutes in the refrigerator.