Preheat your oven to 400°F (200°C). Grease a muffin tin or line with paper liners.
In a large mixing bowl, whisk together the cornmeal, flour, baking powder, baking soda, and salt.
In another bowl, mix the almond milk and apple cider vinegar. Let it sit for a few minutes to curdle.
Add the vegetable oil to the almond milk mixture and stir to combine.
Pour the wet ingredients into the dry ingredients and stir until just combined. Do not overmix.
Fold in the shredded vegan cheddar and chopped chives.
Divide the batter evenly among the muffin cups.
Bake for 18-20 minutes, or until a toothpick inserted into the center comes out clean.
Let the muffins cool in the tin for a few minutes, then transfer to a wire rack to cool completely.