Add oil to dutch oven. Once heated, add ribs and brown well on all four sides.
Remove ribs to a plate; set aside.
Add in vegetables and garlic cloves. Sautè for about five minutes.
Tuck herbs into an herb bag, cheesecloth or tie with a string.
Add herbs and short ribs back into pot.
Add wine. Cook for at least ten minutes reducing to half.
Add tomato paste and broth.
Cook on very low on top of stove for about 3 hours. OR place in 300 degree oven (150 C.) for about hours. Check at 2 1/2 hours and see if meat is fork tender.
Remove meat to a plate. Strain liquid and discard veggies. Place meat back in dutch oven, cover with lid to keep warm.
Simmer this liquid in a sauce pan for at least twenty minutes until thickened to a delicious wine sauce.
Serve over polenta, whipped potatoes, cauliflower mash etc. Pour wine sauce over ribs. Sprinkle with parsley.
Notes
You CAN use organic chicken broth if that's all you have on hand. The beef ribs and wine will drive the flavor.