Marinate the Chicken: In a medium bowl, combine cubed chicken with Greek yogurt, 1 tablespoon garam masala, ginger-garlic paste, and kosher salt. Mix thoroughly with hands to coat every surface. Cover and rest at room temperature for exactly 30 minutes.
Sear for Maillard Development: Heat your heaviest skillet over high heat for 4 minutes until surface exceeds 400°F. Add 2 tablespoons butter. When foam subsides and butter begins browning, add marinated chicken in single layer with space between pieces. Do not stir. Cook undisturbed for 90 seconds, flip each piece, cook another 90 seconds until deep brown crust forms. Internal temperature should reach approximately 145°F. Transfer to bowl and set aside.
Build the Reduced Makhani Sauce: In the same unwashed skillet (preserve that fond), reduce heat to medium and add remaining 2 tablespoons butter. Scrape all browned bits from pan bottom as butter melts. Add tomato puree, remaining 1 tablespoon garam masala, Kashmiri chili powder, and fenugreek leaves. Simmer for 15 minutes, stirring every 2 minutes, until sauce reduces by 40% volume and becomes thick enough to coat spoon. Add heavy cream in four quarter-cup increments, stirring vigorously for 30 seconds between each addition. Simmer 3 additional minutes, then remove from heat and fold in reserved seared chicken.
Parboil Pasta Sheets: Bring 6 quarts water to rolling boil with 2 tablespoons kosher salt. Drop lasagna sheets in batches of 3, cooking exactly 4 minutes per batch. Remove with tongs and lay flat on clean, dry kitchen towels with space between sheets. Blot tops gently to remove surface moisture. Repeat until all 12 sheets are parboiled and drying.
Assemble the Layered Structure: Preheat oven to 375°F (190°C) with rack in center position. Brush 9x13 inch ceramic baking dish with 1 tablespoon softened butter (bottom and sides). First tier: 3 pasta sheets, 1/3 of Makhani chicken (½-inch layer), 6-8 dollops ricotta (1 tbsp each), complete coverage of shredded mozzarella (¾ cup). Second tier: Repeat sequence—3 pasta sheets, 1/3 Makhani chicken, ricotta dots, mozzarella coverage. Press gently to compress. Third tier: 3 final pasta sheets, remaining Makhani chicken (thin ¼-inch layer), heavy double layer of mozzarella (1 cup) and all Parmesan (½ cup).
Execute Two-Phase Baking: Cover dish tightly with aluminum foil (tent slightly to avoid touching cheese). Bake covered for 25 minutes. Remove foil carefully and bake uncovered for additional 15 minutes until top cheese forms golden-brown bubbly crust with darker peaks.
Critical Rest Period: Remove from oven and place on wire cooling rack. Let rest completely undisturbed for 10 full minutes to allow cheese fats to resolidify and structure to stabilize. Cut with sharp chef's knife, wiping blade between cuts. Garnish individual servings with fresh cilantro.