Make the chimichurri: To a bowl, combine the chopped parsley, mint, garlic, Fresno chili, olive oil, red wine vinegar, and salt. Whisk to combine and taste for seasoning.
Marinate the lamb: Pat the lamb dry and season with salt, pepper, and paprika. Add 2 heaping tablespoons of chimichurri and rub into the chops. Marinate at least 20 minutes, or up to 8 hours.
Grill: Heat a charcoal or gas grill to medium-high. Grill lamb chops 3–4 minutes per side, until charred outside and medium-rare inside. Rest 5–10 minutes.
Make the yogurt sauce: Stir together yogurt, lemon, mint, and salt. Spread on the bottom of a platter.
Assemble: Place grilled lamb chops over the yogurt. Drizzle with reserved chimichurri. Serve immediately with salad, rice, or grilled vegetables.