Preheat your oven to 350°F (175°C).
Grease and line the bottom of a 9-inch springform pan with parchment paper.
In a large bowl, whisk together the flour, granulated sugar, light brown sugar, cocoa powder, baking powder, baking soda, and salt.
In another bowl, mix the applesauce, plant-based milk, melted coconut oil, and vanilla extract.
Add the wet ingredients to the dry ingredients, stirring until just combined.
Pour the batter into the prepared pan and spread it evenly.