Adult female:
Ootheca. Note the exit hole on the last picture, the oothecae of this species do not have an exit seam as is typical of roach ooths. Instead the nymphs chew their way out of their oothecae!
Very easily, care is similar to other Corydiids, two third of substrate kept dry, the rest humid. Lots of ventilation, dog food and leaf litter diet, and they're good to go. Doesn't get a whole lot easier.
Glad to see you back! Lots of diversity in the hobby atm, I will say from personal experience the white eyed Eupolyphaga are pretty dang cool. Pet dirt like most Corydiids, but a very cool strain of a relatively easy to breed hobby classic.
H.laevigata may be in culture in Russia, and I think I have seen some Brazilian hobbyists keep them as well. I've never seen H.sexnotata enter culture though, and I doubt either species will enter US culture in the very near future.
Actually H.strumosa is the one Luci/Hormetica I know of that's bred just fine after being shipped as adults. I mean, the others might too, I just know of several people (myself included) who had terrible luck receiving Lucihormetica spp. as adults.
Unfortunately it seems pretty clear they can hybridize in captivity, and I've since become aware of at least one person who had this happen... so yeah, gotta be careful who you buy from, and in maintaining proper containment procedures.