Heat 1 tablespoon of olive oil in a large skillet over medium heat. Add the ground turkey and cook for 5 to 6 minutes, breaking it into small crumbles as it browns. It should be nearly cooked through but not fully done yet.
Push the turkey to one side of the skillet. Add the diced onion and the remaining tablespoon of olive oil to the other side. Cook for 3 to 4 minutes, stirring occasionally, until softened.
Add the shredded carrots, minced garlic, and ginger to the skillet. Stir everything together and cook for 2 more minutes. Pour in the chicken broth and scrape up any browned bits from the bottom of the pan.
Add the shredded cabbage, soy sauce, rice vinegar, salt, and pepper. Stir well to combine. Cover the skillet with a lid, reduce the heat to medium-low, and cook for 12 to 15 minutes, stirring once or twice, until the cabbage is tender.
Remove the skillet from heat. Stir in the toasted sesame oil.
Serve in bowls as-is for a low-carb meal, or over white rice for the family. Top with green onions, sesame seeds, and sriracha mayo if desired.