Slice the strawberries into halves and put them into a saucepan. Combine the sugar, orange peel, and lemon juice, stirring continuously over medium-high heat.
Reduce the heat to medium-low and let it simmer for 15 minutes, occasionally stirring.
In order to make the compote thicker, combine cornstarch with a small amount of water in a separate bowl, and then add it to the strawberry mixture while stirring continuously. Allow it to simmer for an additional 2-3 minutes.
Allow the strawberry sauce to reach a cool temperature equivalent to the room.
Press the dough down and move it to a freshly floured surface. generously sprinkle flour on the dough and flatten it into a rectangle that is a quarter of an inch thick, taking care to prevent the dough from sticking to the surface.
Use an offset spatula to evenly spread the strawberry filling on the rolled dough.
Afterwards, gently scatter a layer of brown sugar over the strawberries.
Take the dough and roll it tightly into a log shape, ensuring the edges are securely sealed. To cut the dough into equal portions, you can use either a serrated knife or unflavored dental floss, and make 12 rolls.
Put the rolls into a baking pan measuring 9x13 inches that has been lightly greased. After that, cover the rolls with a towel and allow them to increase in size until they have doubled.
Take off the towel and place the rolls in an oven at 180c (350f) for approximately 20-25 minutes, or until the tops of the rolls have slightly turned brown. Be cautious not to bake them for too long to prevent them from becoming dry.
Prepare the frosting with strawberry and cream cheese. Place the cream cheese, softened butter, strawberry compote, strawberry jam, powdered sugar, and vanilla extract in a medium-sized bowl. Stir or whisk the mixture thoroughly until it becomes smooth and creamy.
Put the cream cheese glaze on the warm rolls and then present it to be served!