Preheat your oven to 350°F (175°C).
In a large bowl, combine the crumbled cornbread with diced onion and celery.
In a separate bowl, mix together vegetable broth, sage, thyme, salt, and pepper.
Pour the broth mixture over the cornbread mixture.
Add the melted butter and beaten eggs, mixing until well combined.
Transfer the mixture to a greased baking dish.
Cover with aluminum foil and bake for 25 minutes.
Remove the foil and bake for an additional 10-15 minutes until golden brown.
Let it sit for 5 minutes before serving.
Serve warm as a side dish.