Gluconeogenesis is the synthesis of glucose (not glycogen) from noncarbohydrate sources, that is from fat and protein. Glucose produced during gluconeogenesis is used for your current glucose needs, so it is not stored as glycogen, at least not under low-carb diet conditions.
Your brain uses 400-500 Calories per day and can normally rely only on glucose as an energy source, so you need at least 100 grams of carbs for brain needs alone. When you consume less than 100 grams of carbs per day, your body will need to start produce an alternative source of energy for the brain - that is ketones.
http://www.nutrientsreview.com/carbs...s-glucose.html
So, you may eat even 100 grams of carbs per day but you will still not likely replenish your glycogen stores.
Yet another issue is that your leg muscles can use only glycogen from leg muscles, not from other muscles...