In a mixing bowl, whisk together the warm milk, melted butter, sugar, egg, red food coloring, and vanilla extract until well combined.

In another bowl, mix the flour, baking powder, baking soda, and salt.

Gradually add the dry ingredients to the wet mixture, stirring until a dough forms.

Knead the dough on a floured surface for about 5 minutes until smooth.

In a small bowl, mix together the brown sugar, cinnamon, and softened butter until well combined.

Roll out the dough into a rectangle about 1/4 inch thick.

Spread the cinnamon filling evenly over the dough.

Roll the dough tightly from the long side and cut into 12 equal pieces.

Place the rolls in a greased baking dish and cover with a towel. Let rise for 30 minutes.

Preheat the oven to 350°F (175°C).

Bake the rolls for 25 minutes or until golden brown.

In a mixing bowl, beat together the cream cheese, butter, powdered sugar, and vanilla extract until smooth.

Spread the frosting over the warm cinnamon rolls and serve immediately.