Preheat your oven to 350°F (175°C).
Grease and line a 9x13-inch baking pan with parchment paper.
In a large bowl, whisk together the flour, granulated sugar, baking powder, baking soda, and salt.
In another bowl, mix the dairy-free buttermilk, vegetable oil, dairy-free yogurt, and vanilla extract until smooth.
Add the wet ingredients to the dry ingredients, mixing until just combined. Do not overmix.
Pour half of the batter into the prepared baking pan and spread it evenly.