Jeremy Davidson and Jefferson Mays are among the thesps signed on for Lincoln Center Theater’s Off Broadway bow of J.T. Rogers’ play “Blood and Gifts.”The latest from the scribe (“The Overwhelming,” “White People”) centers on the espionage campaigns waged as part of the Soviet-Afghan War in the 1980s. Davidson (“Army Wives,” “Brothers and Sisters”) plays a CIA agent working to halt the conflict. Along with Mays (“I Am My Own Wife”), thesp appears in a cast that also includes Robert Hogan, Andrew Weems, Paul Niebanck and Liv Rooth. Bartlett Sher, who directed Lincoln Center’s long-running revival of “South Pacific,” helms. “Blood and Gifts” began life as a short play originally written for Tricycle Theater’s Afghanistan-themed marathon “The Great Game.” Expanded version of the play preemed last year at London’s National Theater. The LCT staging begins previews Oct. 27 ahead of a Nov. 21 opening.