3 tablespoons extra-virgin olive oil, plus more for brushing
2 carrots, chopped
1 onion, chopped
Kosher salt and freshly ground pepper
1 cup farro
4 cups low-sodium chicken broth
1 wide strip lemon zest (removed with a vegetable peeler), plus the juice of 2 lemons
1 cup shredded rotisserie chicken breast, skin removed
3 large eggs
1/2 cup crumbled feta cheese (about 2 ounces)
1 tablespoon chopped fresh dill, plus more for topping
2 pitas, halved