Cook the pasta until al dente according to package instructions. Then, drain the pasta and rinse it with cold water. Let it cool completely.
Prepare the other ingredients. Chop or shred the cooked chicken. Halve the cherry tomatoes, dice the cucumber and red bell pepper, finely dice the red onion, slice the olives and pepperoncini, and chop the fresh basil. Rinse and drain the beans.
In a large bowl, combine the cooked pasta, cooked chicken, tomatoes, cucumber, bell pepper, onion, olives, mozzarella, beans, pepperoncini, and basil.
Make the Dressing. In a small bowl, whisk together the red wine vinegar, olive oil, oregano, dried basil, garlic powder, onion powder, Dijon mustard, salt, and pepper until well combined.
Pour the dressing over the pasta salad and toss until everything is evenly coated.
Serve the pasta salad immediately or cover and refrigerate it for at least 30 minutes to allow the flavors to blend further.