If you share a body with sufficiently large populations of both your empires on it you get tech levels whenever one empire finishes a research. You don't get the exact tech level that they finished, but two or three levels lower, based on relationship. So if they research 25cm lasers, you'll get 16cm ones, for instance.
My guess is your 90 day module gave them some jump stab module tech too, and this in turn triggered them giving you small jump stab modules, which may be listed as a "lower level tech" for the regular jump stab mods.