Preheat the oven to 400°F (200°C). Grease the baking dish with cooking spray or a little butter.
In a large mixing bowl, combine the all-purpose flour, cornmeal, baking powder, and salt. Whisk the dry ingredients together until well blended.
In another mixing bowl, mix together the cooked and mashed sweet potato, honey, milk, and eggs until smooth.
Pour the sweet potato mixture into the bowl with the dry ingredients and fold gently with a rubber spatula until just combined. Be careful not to overmix.
Add the melted butter and mix until fully incorporated.
Pour the batter into the greased baking dish, spreading it evenly.
Bake in the preheated oven for 30 minutes or until the top is golden brown and a toothpick inserted in the center comes out clean.
While the cornbread is baking, melt 1 tablespoon of butter and mix it with 1 tablespoon of honey in a small bowl for drizzling.
Once the cornbread is done, remove it from the oven and let it cool slightly before drizzling the honey butter mixture on top.
Cut into squares and serve warm.