Cook and crumble ground meat with onions in a very large skillet until meat is cooked through. Do not drain. You’ll need to select a skillet large enough to contain all the cabbage – divide everything evenly into two skillets if necessary.
While meat and onions are cooking, cut cabbage into thin shreds; set aside. Peel carrots with a vegetable peeler then either dice small or use the peeler to shave off thin slices; set aside.
Combine garlic, ginger, pepper, sesame oil, vegetable oil and soy sauce in a small bowl and stir to combine; set aside.
Add cabbage and carrots to ground meat then cook and stir over medium-high heat for 3-4 minutes.
Add soy sauce mixture then stir well.
Reduce heat to medium and continue cooking for 5-10 minutes or until cabbage is tender.