Pat pork dry. Toss with salt, pepper, cumin, oregano, and coriander until evenly coated.
Heat oil in a heavy pot over medium-high. Brown pork in batches, 6–8 minutes total, then transfer to a plate.
Lower heat to medium. Cook onion, jalapeño, and poblano in the drippings until softened, about 5 minutes.
Stir in garlic and cook until fragrant, about 30 seconds.
Add tomatillos and cook, stirring, until they begin to collapse and release juices, 5–7 minutes.
Pour in broth and green chiles. Scrape up browned bits, then return pork and any juices to the pot.
Bring to a gentle simmer. Cover and cook, stirring occasionally, until pork is fork-tender, 60–75 minutes.
Whisk masa with a few spoonfuls of hot broth. Stir slurry into the pot and simmer 5–10 minutes to thicken.
Off heat, stir in cilantro and lime juice. Taste and adjust salt before serving.