Preheat your oven to 350°F (177°C). Grease and flour three 6-inch or two 8-inch round cake pan.
In a large bowl or stand mixer using the paddle attachment, mix the cake flour, sugar, baking powder, baking soda, and salt.
Add the softened butter to the dry ingredients and mix until the texture resembles small crumbs.
In a separate bowl, whisk together the oil, buttermilk, eggs, and vanilla bean paste.
Add half of the wet mixture to the flour mixture and mix on medium-high until lighter in color and smooth about 1-2 minutes. Add the remaining wet ingredients and mix until fully combined.
Divide the batter evenly between the prepared pans.
Bake for 22-25 minutes or until a toothpick inserted into the center comes out clean.
Let the cakes cool in the pans for 10 minutes, then transfer to a wire rack to cool completely before frosting.
