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Heat the oil in a frying pan and tip in the beef. Brown all over before reducing the heat and adding onion, pepper, garlic and cumin. Cook for 2 mins until fragrant, then add the passata, Worcestershire sauce, half of the vinegar and a pinch of sugar. Simmer gently for 15-20 mins.
Trim the carrots and, using the grater attachment on a food processor, push through the carrots and sprouts, or finely slice. Combine the remaining vinegar and yogurt in a bowl, and season. Stir in the carrots and sprouts and toss to coat. Season the sloppy joe mixture and serve in toasted buns with the slaw.