In the bowl of a stand mixer, stir together the warm milk, active dry yeast, and 1 tablespoon of sugar. Allow to proof for about 10 minutes. The mixture should get bubbly and foamy on top.
In a separate bowl, combine all the dry ingredients and whisk together. Once the yeast is activated, add in the remaining ½ cup sugar, eggs and butter. With the paddle attachment, mix until just combined. Add in the flour mixture and mix until the dough comes together. Switch to the dough hook and knead for about 3-5 minutes on low speed or until the dough is completely smooth.
Lightly grease a large mixing bowl and place the dough into the bowl. Allow to rise in a warm place for about an hour, or until doubled in size.
While the dough is rising, make the filling. Melt 2 tablespoons of butter in a saute pan. Add the apples and stir, cooking over low heat for about 5 minutes or until apples are tender. Allow to cool completely while you roll out the dough. In a small bowl, combine the softened ⅓ cup butter, brown sugar, and spices. Mix until completely combined.
After the dough is finished rising, turn it out onto a lightly floured surface. Cover, and let rest for 10 minutes.
After the dough has rested, roll it out into a large rectangle. Spread the dough with the butter-sugar mixture. Spread the sauteed apples evenly over the butter mixture, pressing slightly into the dough. Roll the dough tightly at the wide end and seal well.
Grease a 9"x13" cooking pan. Cut the dough log into 12 equal pieces (discarding the ends if you don't like the look of them) and place them in the pan, separated slightly from each other. Cover the pan and allow the rolls to rise in a warm place for 30 minutes or until doubled in size, or place in the refrigerator overnight.
Bake the rolls at 400°F until golden brown, 15-20 minutes. Drizzle with caramel apple sauce (recipe below) and serve!