This has my "snake oil" alarms going off big time.
First off, unless there is a page I didn't find, they don't actually tell what it does! That's a big red flag in my book.
Secondly, it shouldn't be possible to substantially increase the efficiency of a properly-designed electronic ballast. I'll acknowledge the possibility that there might be some poorly-designed electronic ballasts out there. But given the push for energy efficiency in recently years, I would expect that modern ballasts are designed to convert power at the input to power in the lamp as efficiently as possible, within cost constraints. It is unlikely that circuitry added to the input could do anything other than screw up what they've already done.
So, color me "extremely skeptical."