Preheat oven to 350 F. degrees. Grease an 8x8" square baking dish.
Combine all cake ingredients together. Beat with an electric mixer for 2 minutes.
Pour into prepared baking dish.
Bake for 25-35 minutes.
Remove from oven and let cool completely before frosting.
To make the frosting: Combine the powdered sugar, coconut milk, and vanilla together. Mix until creamy. Add more powdered sugar or coconut milk if you want it thicker or thinner.
Spread over the top of the cake. Sprinkle with coconut flakes.
Recipe by THE SEMISWEET SISTERS at http://www.thesemisweetsisters.com/2021/02/03/coconut-cake-dairy-free-with-coconut-milk/