Heat 1 T of oil and sauté the onions over medium heat, stirring frequently, until they soften, about 5 minutes. Add the garlic, cumin, and carrot and sauté for a couple more minutes.
Transfer to large bowl or food processor and add the chickpeas. Mash or process until mushy. Stir in tahini and parsley.
Combine the flour, baking soda, and salt in the small bowl, then stir into chickpeas.
Flour your hands, shape mixture into four burgers (or about a dozen small falafel), and dust them with flour.
Fry in 1 T oil over medium-low heat for 1 minute, until just beginning to brown. Flip, fry 2 minutes, flip again, and fry 1 one minute (2 minutes total per side).
Splash with a bit of lemon juice and serve. These burgers are wonderful topped with tahini sauce or hummus.