Preheat the oven to 350°F.
In a mixing bowl, combine the corn flour, gluten free flour, coconut sugar, baking soda, and salt.
Next, add in the eggs, milk, and melted butter. Mix until thoroughly combined.
Pour the batter into a greased baking dish and bake for 30 minutes.
Remove the dish from the oven and allow to cool for 10 minutes.
Cut the cornbread into squares and serve with softened butter.