Creating Vegan Pan-Fried Buns is straightforward when you follow these clear steps:

1. Activate the Yeast: In a small bowl, mix warm water, sugar, and active dry yeast. Let it sit for about 5-10 minutes until it becomes frothy.

1. Mix the Dough: In a large bowl, combine the flour and salt. Add the frothy yeast mixture and vegetable oil. Knead until a soft dough forms.

1. Let It Rise: Cover the dough with a clean kitchen towel and let it rise in a warm place for about 30 minutes, or until doubled in size.

1. Prepare the Filling: In a pan over medium heat, add sesame oil. Sauté garlic and ginger paste for a minute. Add mushrooms, shredded carrots, and green onions. Cook until softened.

1. Add Tofu and Seasoning: Stir in the crumbled tofu, soy sauce, and season with salt and pepper. Cook for another 2-3 minutes. Remove from heat and let the filling cool slightly.

1. Shape the Buns: Divide the dough into small balls. Roll each ball into a small circle, about 3-4 inches in diameter. Place a spoonful of filling in the center of each circle.

1. Seal the Buns: Fold the dough over the filling and pinch it closed to form a bun shape. Ensure they are well-sealed to avoid any leaks while frying.

1. Pan-Fry the Buns: Heat oil in a skillet over medium heat. Place the buns in the skillet, making sure not to overcrowd the pan. Fry for about 2-3 minutes on each side until golden brown.

1. Check for Doneness: Ensure that the buns are cooked all the way through and have a crisp, golden exterior. You may need to add more oil as you fry the rest.

1. Serve Hot: Remove from the skillet and place on paper towels to drain excess oil. Serve hot with a dipping sauce of your choice!