Begin by melting the butter over medium heat in a large pot. Add the chopped onion and celery, cooking them until soft and fragrant, about 4 to 5 minutes. Season with salt and pepper to your liking.
Next, stir in the diced Yukon Gold potatoes along with the condensed cream of chicken soup, Cheddar cheese soup, and chicken broth. Sprinkle in the Cajun seasoning, garlic powder, and onion powder, then allow the mixture to simmer gently for around 5 minutes.
After simmering, fold in the chopped rotisserie chicken and cooked bacon pieces. Lower the heat to a gentle simmer and cook the soup for an additional 15 to 20 minutes, stirring now and then to combine the flavors.
Finally, mix the sour cream and shredded creamy mozzarella cheese into the pot, stirring until everything is well integrated. Remove the soup from heat.
Serve the soup hot, topped with shredded Cheddar cheese, crumbled bacon, sliced scallions, and a sprinkle of crushed buttery round crackers for extra texture and flavor.