Much of the improved efficiency comes from the engine[1], which claims "50% lower fuel burn compared to turbine engines in the same power category".
The engine company is German and so we can make lots of jokes about German companies' fuel efficiency claims I guess.
Nevertheless, it has been around since 2012 and is used in a few planes already, so presumably there is some measurable improvement there or they'd have taken the claim down by now?
For comparison, this engine has a Specific fuel consumption of 210 g/kW/h, while a P&W PT6A-6 (older, slightly more powerful: 431 kW vs 368kW) has 0.408 kg/kW/hr[2]
[1] https://red-aircraft.com/?lang=en
[2] http://www.all-aero.com/index.php/contactus/64-engines-power...