Measure out all ingredients first. Grease and line a small casserole dish or a 6-inch cake pan with parchment paper.
In a stand mixer or large mixing bowl, whisk together the flour, cocoa powder, yeast, sugar, and salt. Pour in the warmed dairy-free milk, dairy-free yogurt, melted vegan butter, and vanilla extract. Mix until you form a smooth ball of dough.
Cover the bowl with plastic wrap or a kitchen towel and let it rest in a warm area until doubled in size, about 20 to 30 minutes.
In a small bowl, mix together room-temperature vegan butter with cinnamon, cocoa powder, and brown sugar. Roll out your dough into a rectangle approximately six by twelve inches.
Spread the filling evenly over the rolled-out dough and sprinkle on the chocolate chips. Roll tightly and place in the prepared baking dish.
Cover the baking dish while preheating your oven to 350°F (175°C). Let the rolls rise until they’ve doubled again.
Bake in the preheated oven for about thirty minutes until tops are lightly golden brown. Allow cooling for ten to fifteen minutes before serving.
Whisk together softened cream cheese with powdered sugar and melted chocolate until smooth. Spread this mixture on top of your warm rolls.