Preheat the oven to 350 degrees Fahrenheit and prepare your cake pans.
Whisk together the flour, baking powder, baking soda, and salt in a bowl.
In a separate bowl, cream together the butter and sugar until fluffy.
Add the eggs, egg yolks, vanilla extract, mashed banana, and buttermilk to the butter mixture and mix until combined.
Gradually add the dry ingredients to the wet ingredients and mix until smooth.
Divide the batter evenly among the cake pans and bake until golden brown.