In a small bowl, combine the warmed water, sugar, and yeast. Let this sit for 3 to 5 minutes. The yeast should start to create bubbles. If after 5 minutes, there are no bubbles, your yeast is likely no longer active. Try again with fresh yeast.
In a small bowl, add plant-based milk, apple cider vinegar, and vegan butter, and heat until the butter is melted. You can bring the bowl in 30-second bursts in the microwave or place the mixture over low heat in a saucepan and stir until vegan butter is melted. Check to make sure the mixture does not get above 115℉ otherwise, it will kill the yeast. Add this to the water, sugar, and yeast mixture.
In a large mixing bowl or the bowl of your stand mixer, add flour and salt and quickly combine using the dough hook attachment. Then, add the yeast mixture. Knead for 4 to 5 minutes on low speed until the dough is smooth and soft and the dough is not sticking to the sides of the bowl.
Place the dough in a greased bowl, cover with film wrap and a kitchen towel and let rise for 2 hours in a warm, dark place or until the dough doubles in size. It can take longer if your room is cold. If you don't have a warm room in your house, you can preheat your oven to 100℉, and place the bowl in the oven until the dough has doubled in size.
Meanwhile, prepare a tray covered with lightly oiled parchment paper. Set aside.
When the dough has doubled in size, sprinkle a pinch of flour on top of the dough, punch down the dough, and roll on a lightly floured surface into a ½-inch thick.
Use a 3-inch or 4-inch round cookie cutter or drinking glass or jar lid to shape rounds of dough. After you have gotten all the muffins out of the dough, you can reform a dough ball with leftover dough, roll it again, and cut out more English muffins. Repeat this process until you cut around 10 to 12 English muffins.
Dip each round of dough into cornmeal on both sides, then place it on the tray with parchment paper. Cover the tray with a towel and let rise for 40 minutes.
Heat a non-stick frying pan or cast iron pan over medium-low heat. Place 4 English muffins in the pan, Leaving 2 inches between each muffin to prevent them from touching each other.
Place the lid on the pan and cook for 4 to 5 minutes. Then, gently flip the muffin with a spatula and cook for 3 to 4 minutes on the other side, lid on again. The English muffins should have a golden brown color on each side. Set the muffins on a cooling rack to cool. Repeat the cooking process with your remaining English muffins.
Store at room temperature wrapped in a clean kitchen towel for up to 12 days or freeze in a sealed container for up to 3 months.