Season flour in large bowl; add beef cheeks, toss to coat in flour, remove from bowl. Heat table spoon (plus) of oil in pan and cook beef cheeks in batches, till brown, remove from pan. Cook onions in oil until soft.
Make bouquet garni, add to pressure cooker, and add chopped onions with wine and water and beef cheeks. Bring cooker to high pressure and let cook for 22 minutes. Release pressure using the quick release method. Remove lid.
Add pickled onions and carrots and bring cooker to high pressure again for 5 minutes and release pressure again.
Finish of with some vanilla and/or balsamic vinegar