Preheat oven to 350°F/176.6°C. 
Season ribs with salt and pepper. Heat oil in a large Dutch oven over medium-high. Working in batches, brown ribs on all sides, about 8 minutes per batch. Transfer ribs to a plate. Pour off all but 3 tablespoons (45 ml) of drippings from pot. 
Add onions, carrots, and celery to pot and cook over medium heat, stirring often, until onions are browned, about 5 minutes. Add flour and cook, stirring constantly, until well coated and browned, 2-3 minutes. Stir in wine, then add the ribs with any accumulated juices. Bring to a boil, lower heat to medium and simmer until wine is reduced by half, about 25 minutes. Add all herbs to pot along with garlic. Stir in  beef stock. Bring to a boil, cover, and transfer to oven. Cook until  ribs are tender and meat is starting to fall off the bone, about 2–2½ hours. 
Transfer ribs to a platter. Strain sauce from pot into a measuring cup. Spoon fat from surface of sauce and discard; season sauce to taste with salt and pepper. 
Place a generous dollop of mashed potatoes in the centre of a plate.  Put a long bone onto top of the mash and place the short rib beside it.  Pour the sauce over top of the ribs.
Garnish with fresh parsley.
*For a meatier version, leave out long ribs and use 6 lbs. (2.7 kg) of short ribs.
Preheat oven to 350°F/176.6°C. 
Season ribs with salt and pepper. Heat oil in a large Dutch oven over medium-high. Working in batches, brown ribs on all sides, about 8 minutes per batch. Transfer ribs to a plate. Pour off all but 3 tablespoons (45 ml) of drippings from pot. 
Add onions, carrots, and celery to pot and cook over medium heat, stirring often, until onions are browned, about 5 minutes. Add flour and cook, stirring constantly, until well coated and browned, 2-3 minutes. Stir in wine, then add the ribs with any accumulated juices. Bring to a boil, lower heat to medium and simmer until wine is reduced by half, about 25 minutes. Add all herbs to pot along with garlic. Stir in  beef stock. Bring to a boil, cover, and transfer to oven. Cook until  ribs are tender and meat is starting to fall off the bone, about 2–2½ hours. 
Transfer ribs to a platter. Strain sauce from pot into a measuring cup. Spoon fat from surface of sauce and discard; season sauce to taste with salt and pepper. 
Place a generous dollop of mashed potatoes in the centre of a plate.  Put a long bone onto top of the mash and place the short rib beside it.  Pour the sauce over top of the ribs.
Garnish with fresh parsley.
*For a meatier version, leave out long ribs and use 6 lbs. (2.7 kg) of short ribs.