So, in essence, Scourge, you are saying to increase the energy efficiency of a device, you use two batteries instead of just one. Brilliant!

Anywho.
A battery and a capacitor are the pretty much the same thing functionally when talking about DC energy storage. Capacitors are more likely to allow quick/instantaneous discharge than some batteries (depending on the chemistry of the battery) but often cannot hold a whole of charge.
The only reason you'd possibly use a combination of battery and capacitor for a device is if you had a power supply system that had a different voltage output (capacitor side) than its input voltage (battery side).