Begin by melting the butter in a large pot set over medium heat.
Add the chopped onion and celery, and cook until they soften, about 4 to 5 minutes, then season with salt and pepper.
Mix in the diced potatoes, condensed cream of chicken soup, Cheddar cheese soup, and chicken broth, stirring well.
Sprinkle the Cajun seasoning, garlic powder, and onion powder into the pot, then let the soup cook at a simmer for 5 minutes.
Add the chopped rotisserie chicken and cooked bacon pieces into the soup, stirring to combine.
Turn the heat down to low and let the soup continue cooking gently for another 15 to 20 minutes, stirring every so often.
Once the soup has thickened and the flavors blended, stir in the sour cream followed by the shredded creamy mozzarella cheese, then remove the pot from heat.
Ladle the soup into bowls and top with shredded Cheddar cheese, extra crumbled bacon, sliced scallions, and crushed buttery crackers before serving.