Step 1

Preheat the oven to 350 degrees F.

Step 2

Put the tomatillos, onion and both chiles in a medium heavy saucepan, cover with water and bring to a boil over medium-high heat. Boil until the tomatillos turn an olive-green color, about 10 minutes. Drain and transfer the tomatillos, onions and chiles to a blender. Add the garlic and cilantro and blend until smooth. Season with salt and freshly ground black pepper.

Step 3

Mix the Mexican crema and heavy cream together in a small bowl and season with salt. Set aside.

Step 4

Heat 1 tablespoon oil in a small skillet over medium-high heat. Fry the tortillas until golden but still pliable, about 10 seconds per side, using more oil if needed. Transfer to paper towels to drain.

Step 5

Place the tortillas on a work surface. Divide the shredded chicken evenly among the tortillas and roll up each like a cigar. Spread 1/3 cup of the sauce in a 13-by-9-by-2-inch glass baking dish. Arrange the enchiladas in 1 layer, seam-side down, snugly inside the dish. Pour the rest of the sauce over the enchiladas. Drizzle the cream mixture on top and sprinkle the cheese all over.

Step 6

Bake until the cheese is melted and starting to brown in spots, about 30 minutes. Serve immediately.