Preheat your oven to 160°C (320°F) with the fan function on (refer to note 4 for conventional ovens). Prepare two 8-inch round cake pans by greasing and/or lining them. Set aside.
Sift the all-purpose flour, cornstarch, baking powder, baking soda, salt, and instant coffee powder into a bowl. Whisk to blend thoroughly and set aside.
In another mixing bowl, combine the softened butter, vegetable oil, and packed brown sugar. Using an electric mixer (either hand or stand), beat the mixture for about 2 minutes until it becomes creamy and fluffy.
Add the eggs, one at a time, beating each into the mixture for 10–15 seconds before adding the next. Stir in the vanilla extract, white vinegar, and ½ cup of buttermilk. Beat until the mixture is smooth, even if it looks slightly curdled this is normal.
Set aside your mixer and transition to folding by hand. Gently incorporate half the dry ingredients into the wet mixture using a spatula. Add the remaining cup of buttermilk, folding until just combined. Finally, fold in the rest of the dry ingredients, being careful not to overmix (refer to note 3). The batter should appear smooth and lump-free by the end (see note 7 if it remains curdled).
Divide the batter equally between the two prepared pans and bake for 30 minutes or until a toothpick inserted in the center comes out clean. Let the cakes cool in their pans for 20 minutes, then transfer them to a wire rack to cool completely before frosting.