Preheat your oven to 350°F (175°C).
In a large skillet, melt the butter over medium heat.
Add the chopped onion and celery, sautéing until softened.
In a large bowl, combine the crumbled cornbread, sautéed vegetables, sage, thyme, salt, and pepper.
In a separate bowl, whisk together the chicken broth and beaten eggs.
Pour the broth mixture over the cornbread mixture and stir gently.
Transfer the mixture to a greased baking dish.
Bake in the preheated oven for 30-35 minutes.
Remove from the oven and let it cool for a few minutes.
Serve warm as a side dish.