Place yeast in a large bowl with 1 cup water and sugar. Let stand five minutes until the yeast dissolves and bubbles.
Add the yogurt and oil to the bowl followed by the flour and salt.
Mix with a wooden spoon or your hand until a rough dough comes together. You may need to drizzle between ¼ to ½ cup more water. Use warm water. The dough should be a bit wet and should stick slightly to your hands.
Turn out the dough on a lightly floured surface and knead just slightly until it's fairly smooth but still tacky. Coat the bowl with oil and place the ball of dough in it, covering the top with a bit of oil as well. Cover tightly and set aside to rise, about an hour.
After an hour the dough should have doubled. Remove it to an unfloured surface and cut into eight pieces, like you would a pizza.
Form each piece into a ball by tucking the sides under and then rolling the dough between your palms. Cover the balls of dough with a kitchen towel and let them stand 20 minutes.
While the dough is resting, make the vegan garlic herb butter by placing all ingredients in a small skillet. Turn heat to low.
Once the butter has melted, let it continue to cook for 15 more minutes so the raw garlic smell dissipates. Stir occasionally. You can add some salt to the butter, if you wish.
To form the naan, take one ball of dough. Shape it by pressing it into a four- or five-inch disc first with your fingers, then lifting it by the edges and letting the weight of the dough and gravity pull it down. Move your fingers along the edges until the naan is roughly six inches by eight inches. It is okay if it has some thick spots and some thin. You can also use a rolling pin to shape the naan, then press into it with your fingers to "dock" it so it doesn't puff up while roasting.
Heat a cast-iron griddle over high heat. Place the naan on the hot griddle. It should begin to puff up and form large bubbles immediately.
Flip the naan just once. Let it cook for another 45 seconds to a minute or until char spots appear on the bottom. Brush some of the garlic herb butter on the naan and remove to a plate lined with a kitchen towel. Keep the naan wrapped until ready to serve.