Preheat the oven to 400F. Grease a 9-inch skillet or a 9-inch square baking dish with butter or cooking spray to prevent sticking. Place a greased baking pan in the oven to heat up.
In a large bowl, combine all-purpose flour, cornmeal, baking powder, baking soda, and salt. Stir well to evenly distribute the dry ingredients.
Add the eggs, melted butter, buttermilk, brown sugar, and honey. Stir gently until the ingredients are just combined, being careful not to overmix, as this could impact the texture.
Pour the batter into the hot skillet or baking dish, spreading it evenly with a spatula.
Place the skillet or baking dish in the preheated oven and bake for 20-23 minutes, or until the top is golden brown and a toothpick inserted into the center comes out clean.
Allow the cornbread to cool for a few minutes before slicing and serving