Preheat oven to 375F/190C. Spray a baking dish (that’s large enough to hold four Poblano halves) with non-stick spray.
Heat the olive oil in a large frying pan. Add the ground beef and cook over medium-high heat until the beef is cooked through, any water is evaporated, and beef is nicely browned. As it cooks, break it apart with your turner or mash with an old fashioned potato masher
When the beef is browned add the green chile enchilada sauce, minced garlic, dried cumin, salt, and pepper and simmer over medium-low heat until the sauce has reduced and the meat mixture looks dry.
While the beef cooks, cut the two large Poblanos in half lengthwise; then use kitchen shears (affiliate link) or a small knife to cut out the seeds and cut away the stem part.
Discard seeds and stems; then put the chile halves on a plate and microwave 2-3 minutes, just until they’re barely softened enough to fully open to be stuffed.
Chop enough of the other Poblano chile to make ½ cup chopped Poblano (or use it all if you’re a Poblano fan. You can chop the Poblano a bit smaller than I did if you prefer.) Slice ½ cup green onion.
When the beef mixture has simmered enough that the bottom of the pan looks dry, turn off the heat. Stir in the lime juice, chopped Poblano and the sliced green onion. Then stir in the cup of grated Mozzarella.
Hold the pepper half over the frying pan while you stuff each chile with the meat mixture (some will fall down into the pan!) You may need to pile it on and press down on it to use all the meat.
Put filled peppers in the baking dish and top each one with about a tablespoon of additional grated Mozzarella.
Bake 25-30 minutes, or until the filling is very hot and the cheese is melted and starting to brown.
Serve hot, with sour cream, hot sauce, or salsa to add at the table if desired.
