In a bowl, mix together the sugar, chilies, salt, oregano, thyme, and pepper. Rub evenly onto the pork, cover, and refrigerate for at least 2 hours. Remove from the refrigerator and let meat come to room temperature.

Heat the oil in a large saute pan over medium-high heat. Add the pork and sear until the meat is browned on all sides. Remove the meat from the pan. Add the onions, peppers, and garlic, and cook, stirring, until soft, about 3 minutes. Add the tomatoes, tomatillos, and bay leaf, and cook, stirring, for 1 minute. Add the lime juice, tequila, and cilantro, stir well, and bring to a boil. Return the meat to the pan. Lower the heat, cover, and simmer until the meat is tender, 45 minutes, stirring and basting occasionally. Remove from the heat. Transfer the pork to a platter and tent to keep warm.

Transfer the contents of the pan to a blender and puree on high speed. Return to the cooking pan and cook until thickened. Adjust seasoning, to taste.

Spoon the sauce onto a platter. Carve the meat and arrange on top of the sauce. Drizzle with the cilantro oil and serve immediately.