Moved from Mantidae.

It is important to note that the male S. carolina is mounting, not copulating with the T. sinensis female. These occurrences suggest that visual cues play a significant role for the male within the mating sequence, especially within close proximity of a potential mate, and can occasionally be misleading. It is also important to note that T. sinensis is an introduced species from China. Thus, the interaction between this foreign species with a native species is evolutionarily contrived. Although copulation between Stagmomantis and Tenodera is morphologically impossible, the incidences of heterospecific mate attraction between these disparate genera elicit interesting questions regarding the role of chemical signals that are utilized in complement with visual cues during the mating process. It is possible that pheromone signatures between unrelated mantis genera share some commonality, having at least enough chemical similarity to attract a physically incompatible mate. It is more probable that visual cues predominate the mating sequence when male mantises interact with females at close range, whereas pheromones would be more heavily utilized when potential mates are far apart from each other.

I doubt they could produce young, but inter-species pairings are not unknown. I've seen an image on another site of a male Tenodera sinensis and a female Mantis religiosa. Here is an inter-species tryst gone wrong from the pages of Bugguide.