Unfortunately these seem far more uncommon in the hobby than the more popular
P.magnifica, and are nonexistent in US Blatticulture as far as I know. This is likely due to them being a mountainous species from temperate regions of China, and they can not handle summer temps much above 75F°, and require a winter diapause period of around 60-64F°. They also probably require the accompanying seasonal humidity fluctuations, it's dry in their summers and much more humid in the winter.
Other than that, care should be very similar to
Pseudoglomeris magnifica, and I think that providing those seasonal requirements would allow one to easily breed
beybeinkoi... But alas, it seems no one who's worked with them has actually given them their temperature and humidity requirements, they just kept them like magnifica, which results in them dying.
But hey, if anyone actually does have them available in the US, hit me up as well.

Perisphaerinae are my favorite.
Pseudoglomeris beybienkoi
Very interesting - I had no idea there was such a thing as a metallic colored roach.
Oh you have no idea, there are so many different metallic roach species, too many to mention here...