In a small saucepan, warm the plant milk and 3 tablespoons of vegan butter over low heat until melted. Allow it to cool slightly until it’s just warm to the touch. Sprinkle the yeast and a tablespoon of cane sugar over the warm milk mixture and let it sit for about 5-10 minutes, until it becomes frothy.
In a large mixing bowl, whisk together the flour, salt, and 1 tablespoon of matcha powder. Make a well in the center and pour in the yeast mixture once it’s frothy.
Mix the ingredients together until a dough begins to form. On a floured surface, knead the dough for about 5-7 minutes until it’s smooth and elastic. Place the dough in a greased bowl, cover it with a damp cloth, and let it rise in a warm place for about 1 hour, or until it doubles in size.
While the dough is rising, prepare the filling. In a bowl, mix together the melted vegan butter, 1/4 cup of cane sugar, cocoa powder, and finely chopped vegan chocolate until well combined.
Once the dough has risen, punch it down and turn it out onto a floured surface. Roll it into a large rectangle about 1/4 inch thick. Spread the chocolate filling evenly over the dough.
Starting from one long edge, carefully roll the dough into a tight log. Slice the log into 12 equal pieces and arrange them in a greased baking dish.
Cover the dish with a damp cloth and let the buns rise for another 30 minutes, until puffy.
Preheat your oven to 350°F (175°C). Bake the buns for 25-30 minutes, or until they are golden brown and cooked through.
While the buns are baking, prepare the glaze. In a small bowl, whisk together the powdered sugar, 2 teaspoons of matcha powder, and 2 tablespoons of plant milk. Add more milk if needed until you reach your desired consistency.
Once the buns are out of the oven, drizzle the matcha glaze over them while they are still warm. Serve them fresh and enjoy every gooey, chocolatey bite!