Preheat your oven to 350°F (175°C).
Grease and line three 8-inch round cake pans with parchment paper.
In a large bowl, whisk together the flour, granulated sugar, light brown sugar, cocoa powder, baking powder, baking soda, and salt.
Add the vegetable oil, plant-based milk, hot water or hot coffee, dairy-free yogurt, vanilla extract, and apple cider vinegar to the dry ingredients. Mix until just combined. Do not overmix.
Divide the batter evenly among the prepared pans.
Bake for 25-30 minutes, or until a toothpick inserted into the center comes out clean.
Allow the cakes to cool in the pans for 10 minutes, then transfer to a wire rack to cool completely.