Heat sesame oil in a large skillet or wok over medium-high; cook meat, breaking it up, about 5 to 7 minutes until pork reaches 160°F (71°C) or chicken 165°F (74°C).
Add garlic and ginger; cook 1 minute, stirring constantly, until fragrant.
Add coleslaw and carrots; stir-fry 5-6 minutes until cabbage is tender but slightly crunchy.
Whisk soy sauce, vinegar, sugar, and optional sriracha in a small bowl; pour over cabbage and toss to coat evenly.
Cook another 2-3 minutes to thicken sauce slightly; top with green onions and sesame seeds.
Serve over rice or as is for a low-carb option.