1. Start by activating the yeast: In a small bowl, combine the warm milk with the active dry yeast and a teaspoon of sugar. Allow it to sit for about 5 to 10 minutes until it becomes frothy.
2. In a large mixing bowl, combine the flour, cocoa powder, sugar, and salt. Mix well to ensure the dry ingredients are evenly distributed.
3. Make a well in the center of the dry mixture and add the activated yeast mixture, melted butter, eggs, and vanilla extract. Stir until a dough begins to form.
4. Transfer the dough to a lightly floured surface. Knead for about 5 to 7 minutes until the dough is smooth and elastic.
5. Place the kneaded dough in a greased bowl, cover it with a clean kitchen towel, and let it rise in a warm place for about 1 hour, or until it has doubled in size.
6. Once the dough has risen, punch it down to release the air. Roll it out on a floured surface into a rectangle, approximately ¼ inch thick.
7. Spread a thin layer of softened butter over the rolled-out dough.
8. In a bowl, prepare the filling by mixing together a combination of cocoa powder and sugar. Sprinkle this mixture evenly over the buttered dough.
9. Carefully roll the dough from one long side to the other to form a tight log. Pinch the seams to seal them.
10. Cut the rolled dough into 12 equal pieces using a sharp knife or a serrated edge cutter. Place the cut rolls into a greased baking pan.
11. Cover the pan with a kitchen towel and let the rolls rise for another 30 minutes until they have puffed up.
12. Preheat your oven to 350°F (175°C). Bake the rolls for about 20 to 25 minutes, or until they are set and a toothpick inserted in the center comes out clean.
13. While the rolls are baking, prepare the strawberry cream cheese frosting. In a mixing bowl, beat the softened cream cheese and butter until creamy and smooth.
14. Gradually add the powdered sugar, mixing well after each addition until fully incorporated. Then, add the strawberry puree and vanilla extract, mixing until the frosting is smooth and fluffy.
15. Once the rolls are baked, allow them to cool in the pan for about 10 minutes, then transfer them to a wire rack to cool completely.
16. Once the rolls are completely cooled, generously spread the strawberry cream cheese frosting on top of each roll.
17. Serve the rolls at room temperature or slightly warmed. Enjoy!