Preheat the oven to 425°F (220°C). Line a baking sheet with parchment paper.
In a small bowl, combine non-dairy milk and apple cider vinegar. Let sit to curdle (vegan buttermilk).
In a large bowl, mix together flour, baking powder, baking soda, and salt.
Cut in the vegan butter using a pastry cutter or fork until the mixture resembles coarse crumbs.
Fold in the shredded vegan cheddar cheese.
Pour in the vegan buttermilk and gently stir until just combined. Do not overmix.
Scoop 1/4 cup portions of dough onto the prepared baking sheet.
Bake for 13-15 minutes, or until the tops are golden brown.
Serve warm, optionally brushed with melted vegan butter.