Pat the meat dry with paper towels and season them with salt and pepper.
Heat a large pot (preferably a roasting pot) with butter and oil and brown the cheeks well on all four sides. Remove them and set them aside.
Cut the vegetables into cubes and brown them in the same pot - add a little extra fat during frying.
Return the meat to the pot and add water, wine, and the herb bouquet. Reduce to low heat and let the dish cook covered for 1 1/4 - 1 1/2 hours, until the meat is completely tender.
Remove the meat and the herb bouquet. Discard the bouquet.
Boil the liquid down a bit. Thicken the sauce slightly if it is too thin. Season the sauce with vinegar, sugar, lemon juice, and salt and pepper, until it tastes as you like it.
Serve the dish with mashed potatoes.