In a small glass bowl, whisk together the active dry yeast and sugar with warm water until everything has dissolved. Set aside, cover, and allow the yeast time to proof (expand and become foamy) for 15 minutes.
In a large bowl whisk together the flour and salt and set aside. Also, go ahead and melt your ¼ cup of coconut oil if you have not done so already.
Once your yeast has proofed, pour it into the flour mixture along with the ¼ cup of melted coconut oil and gently fold the dough just until combined and once it comes together to remove it from the bowl and knead it a few times on a lightly floured surface into the shape of a ball.
Lightly coat the inside of the same large mixing bowl in coconut oil in order to prevent the dough from sticking and place the dough back into the bowl, cover, and allow it to rise for 2 hours at room temperature in a draft-free area. During this time the dough should double in size.
In a small bowl, stir together the 1 cup sugar and 1 Tablespoon cinnamon for the filling and set aside. In the pan that you plan on cooking your cinnamon rolls in, melt 2 tablespoons of coconut oil making sure to coat the sides.
Once the dough has proofed, lightly flour a dry surface and roll out the dough into a square. Pour the melted coconut oil onto the dough and brush the surface evenly making sure to leave a border around all 4 sides with no coconut oil and then sprinkle the cinnamon-sugar mixture evenly on top.
Start at the opposite side of the longer edge and roll the dough into a log shape. Take a sharp knife and cut 12 equal rolls.
Place the rolls in the pan leaving a bit of space to the edge of the pan. Cover the pan and allow the rolls to rise for another 2 hours. Preheat oven to 350 degrees F. and bake the rolls for 20 to -25 minutes.
To make the glaze, whisk 1 cup of sugar, milk, vegan butter, and salt in a small saucepan over medium heat until the glaze begins to thicken and then remove it from the heat. When you remove the cinnamon rolls from the oven, drizzle the glaze on top of the warm rolls, and serve immediately.