Heat a skillet over medium-high heat and cook the ground meat until browned and cooked through. Drain excess fat if needed.
Add garlic, cabbage, carrots, soy sauce, and ginger to the skillet. Cook until vegetables soften and mixture thickens slightly. Remove from heat and cool slightly.
Place an egg roll wrapper on a clean surface with one corner pointing toward you.
Spoon 2–3 tablespoons of filling near the bottom corner.
Fold the bottom corner over the filling, fold in the sides, and roll tightly upward.
Brush the top edge with beaten egg and seal firmly.
Heat oil to 350°F (175°C) and fry egg rolls in batches until golden and crisp, turning as needed.
Remove and drain on paper towels. Serve hot.