In a bowl, mix the tahini, lemon juice, minced garlic and a little water. Add water little by little until you get a smooth, creamy sauce. Ad as much salt as needed.
Prepare the salad: Cut the cucumber, tomatoes and red onion into cubes. Finely chop the parsley. In a large bowl, mix all the vegetables with the lemon juice, olive oil, salt and pepper.
Heat the Liveg falafel: heat them in a pan or in the oven at 180° for 3-4 minutes.
Serve the falafel hot with the tahini sauce and fresh salad. You can accompany with pita or wholemeal bread for a complete meal.