In a large bowl, we’ll add all the vegetables including “unpeeled” garlic cloves and add oil. Gently toss the ingredients until nicely coated – if it needs more, add a little.
When the BBQ temperature reaches between 350ºF to 400ºF, transfer veggies to a grill basket. For the tomatillos, place them flesh side down. Close the lid and grill for 5 minutes.
Flip the veggies especially the tomatillos, close the lid and continue grilling for another 15 minutes
When time is up, transfer the tomatillos to a bowl, flip the other veggies, close the lid and grill for another 15 minutes.
After 15 minutes, some vegetables might be soft and charred therefore transfer them to the bowl along with the tomatillos. Continue grilling until they’re all done – it takes about 1:20 hrs.
Transfer charred veggies to the bowl of a food processor; remove the paper from the garlic.
Add sugar, cumin, salt, black pepper, lime juice, and cilantro. Process until the ingredients are well combined, cleaning the sides of the bowl – don’t overdo it. Taste and adjust if necessary.
Pour salsa to a bowl, cover and chill for 3 to 4 hours before serving.