In a large dutch oven or heavy bottom pot, brown the beef, sausage, and pancetta over medium high heat.
Once the meat is almost cooked through, add the onion, carrot, and celery. Reduce the heat to medium. Sauté for 8 minutes.
Push the meat/veggies up the sides of the pot to create some space in the center. Add the tomato paste and caramelize for 3 minutes, stirring occasionally.
Add the garlic, oregano, basil, thyme, sugar, salt, and pepper. Stir until the mixture is all combined and sauté for 2 minutes.
Deglaze the pot with the red wine, scraping any brown bits off the bottom. Reduce for 2-3 minutes.
Stir in 2 cups of the beef broth, crushed tomatoes, and the parmesan rind. Bring to a light boil.
Cover and reduce the heat to low. Simmer for at least 1 hour and for up to 4, stirring occasionally. If simmering for more than 1 hour, add the additional ½ cup of broth if the sauce looks too thick. After simmering, taste and add more salt if needed.
When the sauce has almost finished simmering, make the béchamel. Melt the butter in a medium saucepan over medium heat and whisk in the flour.
Slowly add in about ½ cup of the milk while whisking continuously. Do not add anymore until the milk has been completely incorporated and the mixture is smooth.
Repeat until you have whisked in all of the milk.
Stir in the salt and pepper. Reduce the béchamel, until it is just thick enough to coat the back of a spoon, stirring consciously.
Remove the béchamel from the heat and stir in the pesto and parmesan. Remove the bolognese from the heat as well.
Preheat the oven to 375 degrees. In a 9 x 13 x 3.5 inch baking dish (deep enough to hold 4 layers), ladle a thin layer of bolognese to cover the bottom.
Arrange a single layer of pasta on top of the bolognese, breaking the sheets if needed to fit.
Add another layer of bolognese (about 2 ½ cups) and a layer of béchamel (about ¾ cup). Use an offset spatula or butter knife to spread the sauces gently without mixing them.
Layer the pasta, bolognese, and béchamelagain to create the second layer. Sprinkle about half of the mozzarella on top of the béchamel. (Note: The mozzarella is only for the second and fourth layer.
Layer the pasta, bolognese, and béchamel again to create the third and the fourth layer. On top of the last layer of béchamel, sprinkle on the remaining mozzarella.
Spray a large piece of foil with some cooking spray and cover the baking dish tightly so the greased side is touching the cheese (this prevents it from sticking). Bake covered for 40-45 minutes. Uncover and bake for an additional 10-15 minutes. Broil for 2-3 minutes to brown the top, watching carefully so it does not burn. Let stand for 10-15 minutes before cutting.