Add the ground beef or venison, diced onions, diced celery, diced carrots, and minced garlic to the hot dutch oven.
Cook until the meat is no longer pink and the vegetables are beginning to soften. If using beef, drain the grease onto a paper towel lined plate. This does not need to be done if using venison because it is very lean.
Add chicken broth, diced tomatoes, tomato sauce, and Italian seasoning to the dutch oven.
Cover and simmer for 30 minutes.
Remove the cover and add the kidney beans, northern beans, and ditalini pasta.
Simmer for about 9 minutes or until the pasta is al dente, stirring occasionally so the pasta doesn't stick to the bottom of the dutch oven.
Serve immediately garnished with freshly shredded parmesan cheese.