Grilled lobster tails pair wonderfully with mojo de ajo sauce, which means "garlic bath." It's a good quantity of olive oil with a good quantity of garlic, all cooked very slowly until that garlic is beautifully aromatic. It's liquid gold for a cook.
For the mojo, add the garlic to the food processor, and run the processor until the garlic is finely minced. Heat a small saucepan over medium-low heat. Add the olive oil. Add the chopped garlic and bring to a gentle simmer. Cook until lightly browned, about 20 minutes.
Season the mojo with salt and add the lime juice.Split the chile peppers lengthwise and scrape out and discard the seeds. Chop the peppers and add to the simmering mojo. Continue to cook for a few additional minutes. Remove from heat and cool completely.
For the lobster, heat a gas grill on medium-high or light a charcoal grill, and let the fire burn down until the coals are covered in a gray ash.Brush a generous amount of the mojo on the flesh-side of each lobster half and season with salt. Lay the lobster tails flesh-side down on the grill. When the lobster has browned a little and can be easily dislodged from the grill, flip them over and cook shell-side down until the meat is done, about another 2 or 3 minutes.
Transfer the tails to a serving platter, shell side down, and sprinkle with finishing salt. Spoon some of the warm mojo on top, then spoon Lazy Salsa Huevona around the lobster; garnish with cilantro leaves. Serve immediately.