In a large mixing bowl, combine the buckwheat flour, grated zucchini, grated carrot, chopped onion, minced garlic, chopped parsley, and optional feta and Parmesan cheese.
In a separate small bowl, whisk the egg, salt, and black pepper.
Pour the egg mixture into the vegetable mixture and stir until everything is well combined. The mixture should hold together when pressed.
Heat a skillet or frying pan over medium-high heat and add a couple of tablespoons of cooking oil.
Form the mixture into patties and place them in the hot skillet. Cook for about 3-4 minutes on each side, or until they are golden brown and cooked through.
Remove the patties from the skillet and place them on a paper towel-lined plate to remove any excess oil.
For the yogurt dipping sauce:
In a small bowl, combine the Greek yogurt, lemon juice, honey, and dried dill (or fresh dill). Mix well.