The patent, US patent number 6,857,067, says that Uniloc has rights to a "system and method for preventing unauthorized access to electronic data," and Uniloc contends that the aforementioned corporations are infringing on that patent via Android-based games. In the case of EA, it's Bejeweled 2, and in the case of Square Enix, it's Final Fantasy III that's cited – if the game at any time communicates with a centrally owned server to legitimize its license, Uniloc contends that it violates the patent.
Uniloc has a history of patent litigation over software. The company sued Microsoft in 2003, eventually winning. It has since filed suit against many, many other software manufacturers for other alleged patent violations.