Clean and wash the cauliflower and blanch it for 3-5 minutes in abundant boiling salted water. Rinse the cauliflower under cold water, drain and allow to cool
Finely crush cumin in a mortar. Wash 1 lime, grate dry and finely grate the peel. Squeeze 3 limes (7-8 tbsp. juice) and mix with the grated zest, cumin, brown sugar, cayenne pepper and approx. 1 tsp. salt. Finally, stir in the oil
Cut a thick slice out of the middle of each cauliflower. Cut loose lateral florets in half. Place the cauliflower on a plate and brush with the marinade
Squeeze 2 limes. Wash the mint, shake dry and cut or chop the leaves into fine strips. Cut avocados in half, remove seeds. Peel the flesh. Coarsely mash avocado, lime juice and mint with a fork. Season with salt and pepper, fold in sour cream loosely
Carefully place the cauliflower on a preheated grill rack (or aluminium tray) and grill for 10-15 minutes. Serve with avocado and mint remoulade