Preheat oven to 400°F (200°C). Grease a 9x9 inch baking pan or line with parchment paper.
In a large bowl, combine cornmeal, flour, baking powder, and baking soda. Mix well.
In a separate bowl, whisk together eggs, milk, melted butter, and honey.
Pour wet ingredients into dry ingredients and stir until just combined. Avoid overmixing.
Fold in optional vegetables or herbs.
Pour batter into prepared pan and smooth the top with a spatula.
Bake for 20–25 minutes or until a toothpick inserted in the center comes out clean.
Allow to cool 5–10 minutes before slicing. Serve warm.