Preheat the oven to 350°F (175°C).

In a bowl, mix the dry ingredients: flour, sugar, baking powder, baking soda, and salt.

In another bowl, combine the wet ingredients: applesauce, coconut milk, vegetable oil, and vanilla extract.

Gradually add the wet mixture to the dry mixture, stirring until well combined.

Pour the batter into a greased cake pan.

Bake for 30 minutes or until a toothpick comes out clean.

Allow to cool before serving.