You will find vegetables listed in both your Veggie Carbs and Free Foods lists primarily. There are also a few in your Meal Carbs lists. Vegetables in your Veggie and Meal Carbs list are noted as cooked, whereas the Free Foods are raw.
The difference here is that the cooking process makes the starches in vegetables more accessible for absorption. Therefore more energy is available to the body. Cooking also releases water so that the vegetable shrinks in size. It takes a lot of raw spinach to equal 3 oz of cooked spinach. Raw vegetables are considered Free Foods because they are extremely low in calories.
A few vegetable food items, such as butternut squash and peas, appear in both the Meal Carb list and the Veggie Carb list. There is less carbohydrate energy in a serving of Veggie Carbs (5g) compared to a serving of Meal Carbs (15g). A few vegetables (such as cooked Butternut Squash) can be found on the Meal Carb list with increased servings sizes accounted for.