Prepare 5 pints, lids, and rings. Sanitize jars and keep in hot water.
In a medium Dutch oven or skillet, heat 1 tablespoon oil over medium-high heat. Cook pork until browned on all sides, though it doesn't have to be cooked through. Remove pork, add another tablespoon of oil, and sautee onions and peppers until just translucent, about 3 minutes. Add garlic and cook another minute. Remove and set mixture aside.
Gril tomatillos over open flame or in a btoiler. Place in a blender, along with peppers, onions, and garlic, and puree. Pour puree into a stainless steel saucepan along with wine, vinegar, stock, and spices. Bring to a simmer.
Remove jars from hot water, place on a kitchen towel, add a quarter cup of sauce to each jar, fill 2/3 full with pork, adding sauce as you fill it so no air pockets remain. Leave 1" headspace. Wipe rims and add lids and bands. Seal finger tight.
Process in pressure canner for at 11 pounds pressure for dial gauge canners and 10 pounds for weighted gauge canners. Process pints for 75 minutes and quarts for 90.