Prepare the grill for direct cooking over medium heat (350° to 450°F).
Gently combine the patty ingredients. With wet hands, form four square patties of equal size, each about ½ inch thick. Set aside.
In a small bowl mix the sauce ingredients.
Cut each roll in half and brush the cut sides with oil.
Brush the cooking grates clean. Grill the patties over direct medium heat, with the lid closed, until cooked to medium doneness, 8 to 10 minutes, turning once. After you turn the burgers, add two slices of cheese to each patty. During the last minute of grilling time, toast the rolls, cut side down, over direct heat.
Build the burgers on toasted ciabatta with sauce, baby greens, a patty, and two tomato slices. Season with salt. Serve warm.