In a food processor, combine chickpeas, parsley, cilantro, onion, garlic, cumin, coriander, baking soda, salt, and pepper. Pulse until the mixture is well combined but still slightly chunky.
Transfer the mixture to a mixing bowl and stir in the flour. Shape the mixture into small patties or balls.
Heat cooking oil in a skillet over medium-high heat. Fry the falafel until they are golden brown and crispy on both sides, about 3-4 minutes per side. Set them on a plate lined with paper towels to absorb any extra oil.
In serving bowls or plates, layer the cooked basmati rice, falafel, cucumber, tomatoes, red onion, Kalamata olives, and feta cheese.
Drizzle with tzatziki sauce and garnish with extra parsley and cilantro if desired.