Make the Dressing: In a small bowl or jar, whisk together olive oil, balsamic vinegar, soy sauce, minced garlic, honey, brown sugar, ginger, sesame oil, and water until smooth. Set aside.
Combine Salad Base: In a large bowl, add coleslaw mix and shredded rotisserie chicken.
Add Mix-Ins: Add almonds, cashews, dried cranberries, sliced red onion, and chopped cilantro. Gently fold in drained mandarin oranges.
Dress the Salad: Pour dressing over the salad and toss gently until everything is evenly coated.
Add Final Touch: Just before serving, add sesame sticks and sprinkle with sesame seeds.
Serve: Transfer to a serving bowl and enjoy immediately, or refrigerate until ready to serve.