Clean, wash and quarter the cabbage and slice it finely from the stalk. Pour into a large bowl. Sprinkle with 1 tablespoon sugar and 1 teaspoon salt, sprinkle with 3 tablespoons vinegar and knead well with your hands. Leave to stand for about 30 minutes.
Peel and finely dice 1 onion. Beat the rest of the vinegar, a little pepper and oil. Add the onion, caraway and vinegar-oil mixture to the cabbage, mix well and leave to stand for another 2 hours. Season to taste with salt, pepper and sugar.
Peel and finely grate the carrot. Mix yoghurt, milk, lemon juice and carrots, except for something to garnish. Season to taste with salt, pepper and 1/2-1 teaspoon sugar.
For the falafel, place the chickpeas in a sieve, rinse and drain. Peel and finely dice 1 onion and garlic. Wash the parsley, shake dry and pluck off the leaves. Put aside about 1/3 of the leaves.
Finely chop the remaining leaves. Puree chickpeas, onion, garlic and chopped parsley. Mix with egg, breadcrumbs and flour. Season to taste with cumin, about 1/2 tsp salt and pepper.
Form 20-24 small meatballs with moistened hands. Fry the meatballs in portions in hot oil for about 5 minutes until golden brown. Drain on kitchen paper.
Heat tortillas in the microwave or oven according to the package instructions. Place each tortilla on a sheet of parchment paper, spread with some carrot-yoghurt sauce, leaving about 1 cm of edge free.
Put some coleslaw, parsley leaves and falafel in the middle. Wrap one side, roll the flat cakes into a bag with the paper. Sprinkle with some yoghurt sauce and garnish with carrot.