Step 1

Heat the broiler with a rack 6 inches from the heat source and another rack directly beneath it.

Step 2

On a sheet pan, generously season both sides of the eggplant with salt. Cook on the top rack until they brown on top, about 5 minutes. Turn them over and cook until browned on the other side, about 5 minutes more.

Step 3

Meanwhile, in a small bowl, mix together the oil and vinegar and season with salt, pepper, red pepper flakes and oregano. In a large mixing bowl, pour in half of the liquid, then add the broccolini, tomatoes, onions and garlic, tossing to coat well. If anything looks dry, add a little more oil.

Step 4

Remove the eggplant, generously brush both sides with the remaining oil and vinegar, pouring any remaining on the broccolini and tomatoes, then layer the broccolini mixture on top. Cook until the tomato skins blister and the broccolini stems can be easily pierced with a fork, about 5 minutes. If the broccolini tips threaten to burn, then place on the lower rack to finish cooking.

Step 5

Turn the broccolini over, then top the entire sheet pan with a sprinkling of Parmesan and pieces of mozzarella, and broil until the cheese is melted, 2 to 3 minutes more. Garnish with a sprinkling of Parmesan, pepper, a drizzle of olive oil and herbs.