Low-Fat & Low-Sugar Snacks With No Fruits & Veggies. Part of the series: Food Benefits & Nutrition. Low-fat and low-sugar snacks with no fruits and veggies will often be higher in fiber than other alternatives. Find out about low-fat and low-sugar snacks with now fruits and vegetables with help from The Fit Foody and creator of www.eatcleaner.com in this free video clip.