In a food processor, combine chickpeas, onion, garlic, parsley, cumin, coriander, salt, black pepper, cayenne pepper, baking powder, and lemon juice. Pulse until mixture is coarse and crumbly.
Form the mixture into small patties.
Heat olive oil in a pan over medium heat. Cook patties for about 3-4 minutes on each side until golden brown.
Warm the gluten-free wraps.
Assemble the wraps with falafel patties, lettuce, tomatoes, cucumber, and tahini sauce.