Prepare your canner and jars. Wash your pint canning jars and keep them hot while you prepare the sauce. Prepare your boiling-water canner and lids according to the manufacturer's directions.
Prepare the green tomatoes. Wash the tomatoes and place them in boiling water for 30 to 60 seconds, or until the skins begin to split. Transfer them immediately to cold water. Slip off the skins, remove the cores, and finely chop the tomatoes. Measure 8 quarts of prepared tomatoes.
Prepare the peppers and onions. Wearing gloves when handling hot peppers, remove the stems and seeds and finely chop the jalapeños and long green chiles. Chop the onions and crush the garlic.
Cook the sauce. Combine the prepared green tomatoes, garlic, onions, peppers, 5% acidity vinegar, salt, black pepper, sugar, oregano, and cumin in a large stockpot.
Bring the mixture to a boil, stirring frequently. Reduce the heat and simmer, stirring frequently, until the sauce has thickened, about 1 hour. Do not purée or thicken the sauce with flour, cornstarch, or other thickeners before canning.
Fill the jars. Ladle the hot green tomato enchilada sauce into hot pint jars, leaving ½ inch of headspace.
Remove air bubbles and adjust the headspace if necessary. Wipe the jar rims clean and apply the lids and bands according to the manufacturer's directions.
Process the jars in a boiling-water canner according to your altitude:
0 to 1,000 feet: 15 minutes
1,001 to 6,000 feet: 20 minutes
Above 6,000 feet: 25 minutes
Begin timing once the water has returned to a full boil. These processing times are for pint jars only.
When processing is complete, turn off the heat and remove the canner lid. Remove the jars according to standard boiling-water canning procedures and allow them to cool undisturbed.
After 12 to 24 hours, check the seals. Remove the bands, label the jars, and store properly sealed jars in a cool, dark place.