Preheat the oven to 375°F (190°C). Lightly grease a medium casserole dish.
In a large bowl, sift together the cornmeal, flour, baking powder, thyme, smoked paprika, black pepper, and salt. If you don’t have a sifter, simply whisk the dry ingredients to remove any lumps.
In a separate bowl, whisk together the yogurt, plant-based milk, maple syrup, and olive oil until smooth. Pour the wet mixture into the bowl with the dry ingredients and stir until just combined.
Fold in the corn kernels, parsley, scallions, and vegan cheddar shreds.
Transfer the mixture to the prepared casserole dish and spread evenly. Bake for 40-45 minutes, or until the top is golden and a toothpick inserted in the center comes out clean.
Let the casserole rest for 5 minutes before serving.