Peel and grate the carrots. Chop peanuts. Wash coriander, shake dry, chop leaves roughly. Wash lime hot, dab dry and finely grate the peel. Mix with carrots, barbecue sauce and peanuts.
Fold in the coriander. Season to taste with salt and pepper.
Halve the lime and squeeze it. Puree the tofu in a tall mixing bowl. Season to taste with salt, pepper and about 1 tbsp. lime juice. Pour into a bowl. Add the carrot mixture.