Add the warmed water, active dried yeast, and sugar to a bowl. Stir and let sit for 5 minutes to allow the yeast to activate and bloom.
Next, add the vegan yogurt and olive oil to the mixing bowl and whisk with the yeast mixture.
Then, add in the all-purpose flour, salt, and garlic powder and mix into a thick shaggy dough. I recommend starting with 3 cups flour and adding u to 3 ¼ cups flour as needed.
Once a shaggy dough forms, you will want to knead the dough. If you are using a standing mixer, use the bread hook to knead the dough until it is elastic and no longer sticking to the sides of the bowl (about 5-7 minutes). If you are kneading by hand, add the dough to a well-floured surface and knead for 8-10 minutes. The dough is ready when it is smooth and tacky, but not super sticky, and can be easily stretched without tearing.
Form the dough into a round ball and place it into a well-oiled bowl. Then, cover the bowl with plastic wrap or a towel and let rise for 1-2 hours or until the dough has proofed and doubled in size.