In a small bowl, combine the warm milk and active dry yeast. Let it sit for about 5 minutes until it becomes foamy, indicating the yeast is active.
In a large mixing bowl, whisk together the all-purpose flour, granulated sugar, and salt. Create a well in the center of the dry ingredients and pour in the yeast mixture, melted butter, and beaten egg.
Stir the mixture until a cohesive dough forms. Transfer the dough to a floured surface and knead for 5 to 7 minutes until it is smooth and elastic, adjusting the flour as necessary to keep it from sticking.
Form the dough into a ball and place it in a greased bowl, covering it with a clean kitchen towel. Allow it to rise in a warm spot for about 1 hour, or until it has doubled in size.
Once the dough has risen, gently punch it down to release any air. Roll it out on a floured surface into a rectangle measuring about 12x18 inches.
Evenly spread the softened butter over the surface of the dough, then sprinkle it generously with packed brown sugar and ground cinnamon. Distribute the chopped pecans evenly on top.
Starting from one long edge, tightly roll the dough into a log shape, pinching the seam to seal it as you go.
Using a sharp knife or a piece of dental floss, cut the log into 12 equal slices. Arrange the slices cut-side up in a greased baking dish, ensuring they have some space between them.
Drizzle the caramel sauce evenly over the rolls and sprinkle any remaining chopped pecans on top for added crunch and flavor.
Cover the baking dish once more and let the rolls rise for another 30 minutes in a warm area until they puff up slightly.
Meanwhile, preheat your oven to 350°F (175°C). Bake the rolls for 25 to 30 minutes, or until they are golden brown and have an inviting aroma.
After baking, remove the dish from the oven and allow the sticky buns to cool for about 10 minutes. To serve, invert the dish onto a serving platter so that the luscious caramel cascades over each bun.
Notes
For an elegant presentation, garnish the top with additional whole pecans, a drizzle of extra caramel sauce, or a dusting of powdered sugar. Serve warm for the best experience!