Cornbread with soda

1 1/4 cups yellow cornmeal 1/4 cup sugar 3/4 cup flour 1 1/2 teaspoons baking powder 1/2 teaspoon baking soda 1 teaspoon kosher salt 1 cup buttermilk 2 eggs ,[...]

1/2 cup butter (one stick) 1/2 cup granulated sugar 2 eggs 1 cup milk 1 cup cornmeal 1 cup all-purpose flour 1/3 cup dry buttermilk , Bob's Red Mill brand[...]