Banana Split with eggs

3 1/2 cups all-purpose flour 2 1/2 teaspoons baking powder 1 teaspoon baking soda 1/2 teaspoon salt 2/3 cup shortening 1 1/4 cups granulated sugar 4 eggs 1[...]

1 1/2 cups granulated sugar 1 1/2 cups room-temperature unsalted butter 2 teaspoons vanilla extract 5 large eggs 3 cups unbleached self-rising flour 3/4 cup[...]