Preheat the oven to 350°F (175°C).

Grease a 9-inch round cake pan and line the bottom with parchment paper.

In a mixing bowl, whisk together the gluten-free flour, coconut sugar, baking powder, and salt.

In another bowl, mix the applesauce, almond milk, vegetable oil, eggs, and vanilla extract until smooth.

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

Pour the batter into the prepared cake pan and smooth the top with a spatula.

Bake in the preheated oven for 30 minutes or until a toothpick inserted in the center comes out clean.

Let the cake cool in the pan for 10 minutes, then transfer it to a wire rack to cool completely.