adapted from Alex Lee of Daniel, NYC
Sprinkle the short ribs with semolina, salt and pepper. Heat the oil in a large stovetop-safe slow cooker insert or Dutch oven (at least 6-quart size, like Staub or Le Creuset).
Brown the short ribs in batches, making sure to get all sides. As the ribs finish, transfer to a plate. This is going to take you around 45 minutes.
As you’re browning the rib chunks, make the braising liquid by pouring the wine into a saucepan and bringing it to a simmer. Reduce by half, this will take about 15 minutes, then add the stock and water and bring back to a simmer.
If you will be using the oven vs. a slow cooker, preheat to 325°F.
Prepare the vegetables and set aside.
When you have finished browning all of the ribs, remove all but 1 tablespoon of the fat from the dutch oven, add the vegetables, stir and cook for about 5 minutes to soften then add the tomato paste and cook it for minute.
Add the browned short ribs and braising liquid to the vegetables, cover, and cook:
Preheated 325° oven for 3 hours/Slow Cooker Low for 6–8 hours