Peel or clean, wash and cut carrots and peppers into pieces. Clean the chilli, cut lengthwise, remove seeds, wash and chop finely. Peel onion and garlic and chop finely.
Heat the oil in a pot. Sauté onion, garlic and chilli in it, fry carrots and peppers for about 1 minute. Deglaze with vinegar. Add tomatoes together with juice and 1⁄2 l water. Stir in broth, bring to the boil. Season with salt and pepper. Stir in barley. Simmer chillies at medium heat for 30-40 minutes, stirring in between.
Rinse beans, drain, stir into the chilli and bring to the boil. Season the chilli with salt, pepper and sugar. Arrange chilli on plates. Sprinkle with basil as desired.