Preheat your oven to 350 degrees F. In a food processor (you may need to do this in batches if your food processor is small), add the garlic cloves, yellow onion, Italian parsley. Pulse until the mixture is minced, scraping down the sides, as needed.
Add the cumin, cayenne pepper, juice from 1 lemon, baking soda, salt and chickpeas. Pulse until completely combined and the mixture is mostly smooth.
Brush your baking sheet liberally with about a tablespoon of olive oil. Scoop out heaping tablespoons of the falafel mixture and roll them into balls. Place them on the baking sheet and lightly push the tops in. Brush the falafel balls with olive oil and transfer to the oven to bake for 10 to 15 minutes, flipping at the halfway point (around 5 minutes) to ensure even browning.
To assemble the wraps: Mix together the labneh, garlic cloves, a pinch of salt and lemon juice. Slather a few tablespoons of labneh onto each pita wrap. Top with warm falafel balls, slices of red onion, tomato, parsley leaves, mint leaves and cucumber. Wrap them up and tie them with a twine and eat immediately.