I started to look into this and from a brief readings of the patents it seems that the magic sauce is Rayleigh scattering by shining an LED light onto a sandwich of two transparent panels and a solid layer of silica aerogel. I couldn't find the thickness of the aerogel layer, which will determine if you get more blue or red light out of the sandwich.

It's quite ingenious, the aerogel consists of silica nanoparticles with a size distribution smaller than the wavelength of the light, leading to Rayleigh scattering to dominate. The non-uniformity of the aerogel structure is what gives it the more nuanced lighting, it lets a bit of yellow light, a bit of this and that, making a non-monochromatic source that resembles sunlight very well.