First, regarding the so-called sugar battery;
It's really a sodium-ion battery.
They claim a 20% increase in power storage over a lithium-ion, which probably means a 20% decrease in cost, best case.
Sodium-ion batteries have cycle problems - after about 50 charge/discharges, they typically have 50% of their original capacity. They don't even talk about this, so I'm betting they haven't solved the problem.
Second, about lithium-ion batteries;
Lithium isn't rare - you could extract it from sea water for about 3 times what it costs now. Even at that price it wouldn't mean much to lithium-ion batteries, because despite the name, lithium isn't the primary ingredient, nor is it the most costly.
Envia's breakthrough battery is a lot better at 3 times the energy density and half the cost, and it's a lot closer to market.