Showtime Sports and CBS Sports are teaming for feature-length doc “LT: The Life and Times,” which will air on Showtime.Documentary, slated for early next year, centers on the life of Hall of Fame NFL player Lawrence Taylor. Production collab between Showtime Sports and CBS Sports will be in association with NFL Films. Trio is already known for Emmy-award winning weekly sports show “Inside The NFL,” which has run on Showtime Sports since 2008. “LT” will be produced by the CBS Sports production team from “A Game of Honor,” with the banner’s creative director Pete Radovich, Jr. serving as the doc’s director. Radovich, along with CBS Sports coordinating producer Steve Karasik, will co-produce “LT.” Showtime Networks is a subsidiary of CBS Corporation.