Preparation

Make the dough

• Combine the flour, baking powder, salt, and sugar in the bowl of a stand mixer fitted with the dough hook. Whisk the yogurt and egg in a medium bowl, then whisk in 1-1/2 cups of lukewarm water and the oil. Pour the egg mixture into the flour mixture and mix on low speed until a soft, sticky dough starts to clump around the hook, about 5 minutes. If the dough seems too wet, add more flour, 1 tsp. at a time. Line a baking sheet with parchment and dust lightly with flour. Turn the dough out onto a lightly floured surface and divide it into 10 equal pieces. Form each piece into a ball and arrange them on the baking sheet. Lightly brush the dough with oil, cover with plastic, and let rest at least 1 hour and up to 2 hours before shaping.

Make the filling

• Combine the cilantro, mint, nuts, garlic, ginger, and salt in a food processor. Pulse until the ingredients are finely chopped. Scrape the sides of the bowl, turn the processor back on, and pour the oil through the feed tube, mixing until incorporated. Transfer to a medium bowl.

Make and grill the bread

• On a lightly floured surface, roll a dough ball into a 5-inch circle. Spread about 2 tsp. of the filling in the center, leaving a 1/2-inch border. Scatter 1 Tbs. of the crumbled cheese over the filling. Gather the border to form a pouch, pinching it to seal in the filling. Turn the pouch pinched side down and, using very light pressure, roll it into a 6-inch circle. Transfer to a parchment-lined baking sheet. Continue filling and shaping the dough, layering parchment between the breads if you stack them.

  Prepare a medium charcoal or gas grill fire. Brush the grill grates with a stiff brush, then wipe with a lightly oiled paper towel. Grill the breads in batches pinched side down, covered, until they look puffy and the undersides brown lightly in places, 2 to 3 minutes. Turn over and cook the other side, covered, until grill marks form and the breads are cooked through, 2 to 4 minutes. Just before taking them off the grill, turn the breads pinched side down and brush lightly with the butter. Sprinkle with a pinch of salt. Cut each bread in half and serve warm.

Pair the grilled naan with Grilled Lamb Burgers or Tandoori Chicken kebabs.