Ingredients

1/2 cup plain whole milk yogurt 

2 teaspoons fresh lime juice 

Coarse salt 

1/4 cup vegetable oil, plus more for brushing 

1 medium onion, finely chopped 

5 garlic cloves, minced 

3/4 teaspoon freshly ground pepper 

3/4 teaspoon curry powder 

1 tablespoon plus 1 teaspoon grated peeled fresh ginger 

1 large carrot, peeled and finely shredded in a food processor (3/4 cup) 

2 small golden beets, peeled and finely shredded in a food processor (3/4 cup) 

1 small zucchini, finely shredded in a food processor and squeezed between paper towels to remove excess liquid (3/4 cup) 

1 1/2 cups cooked long-grain brown rice 

1 can (15 ounces) chickpeas, drained and rinsed 

1 1/2 cups fine fresh breadcrumbs 

6 pieces flatbread, such as naan 

Sliced tomatoes, for serving 

Fresh flat-leaf parsley sprigs, for garnish 

Preparation

Stir together yogurt, lime juice, and a pinch of salt in a small bowl. Refrigerate sauce, covered, until ready to use.

Heat oil in a medium skillet over medium heat. Add onion, garlic, 1 1/2 teaspoons salt, and the pepper. Cook, stirring, until onion is translucent, about 5 minutes. Stir in curry powder and ginger; cook 3 seconds more. Add carrot, beets, and zucchini; cook, stirring often, until vegetables are just tender, about 2 minutes. Let cool 10 minutes.

Pulse rice, chickpeas, and half of the vegetable mixture in a food processor until it forms a coarse paste. Transfer to a medium bowl. Stir in remaining vegetable mixture and the breadcrumbs. Season with salt and pepper.

Shape into 6 oval patties (about 4 inches long). Refrigerate, covered, until cold, about 30 minutes (or up to 3 hours).

Preheat grill to medium (if using a charcoal grill, coals are ready when you can hold your hand 5 inches above grill for just 5 to 6 seconds). Brush grill and burgers with oil. Grill burgers, flipping once, until charred and heated through, 3 to 4 minutes per side.

Grill bread, flipping once, until softened and lightly charred. Serve burgers on bread; top with tomato and reserved yogurt sauce. Garnish with parsley.