Preheat the oven to 400°F (200°C) and line an 8x8 baking dish with parchment paper.
In a small bowl, mix the flaxseed meal and warm water. Set it aside for now to thicken.
In a medium-sized bowl, whisk together the cornmeal, flour, sugar, baking powder, baking soda, and salt.
Add the plant milk, yogurt, and flax egg mixture. Gently combine everything.
Pour the batter into the lined baking dish. Bake it for about 20 minutes or until a toothpick, inserted into the center, comes out clean. Try not to over-bake it to keep the cornbread moist.
Let it cool down for at least 15 minutes before slicing for the best structure.