Place lukewarm milk, sugar and yeast in bowl. If using active dry yeast, wait 3-5 minutes until it begins to froth or bubble.
Add the vegan butter, all of the flour and salt to the bowl.
Using a stand mixer, or by hand, mix the ingredients until a dough forms. Then continue to knead for five minutes in the stand mixer set to medium speed, or by hand, until the dough is smooth and supple with no stickiness.
Remove the dough to a work surface and form into a smooth ball. Oil the bowl and place the ball of dough in it. Oil the top of the dough as well. Cover tightly with a lid or cling wrap and set the dough aside for an hour in a warm spot.
After an hour the dough will have risen and more than doubled. Remove the dough from the bowl and, using a bench scraper or a knife, cut into 12 even pieces.
Shape each piece into a ball. Do this by tucking the edges of each portion of dough under, then use your palm to roll the ball of dough on your work surface until you have a smooth ball. Place the balls of dough in a baking dish lightly coated with oil.
Cover the bread rolls loosely with a kitchen towel and set them aside for an hour in a warm spot in your kitchen. The bread rolls will more than double and join together at the seams. They will continue to rise a bit more in the oven.
Just before the bread rolls have finished rising, preheat the oven to 350 degrees Fahrenheit, 180 degrees Celsius. Bake the bread rolls for 25 minutes until the tops are a rich golden-brown. As soon as the rolls come out of the oven, brush the tops with the optional oat milk and maple syrup glaze. Cool the rolls in the pan, on a wire rack.