Buecker, who has worked as director-producer alongside "Glee" creator Ryan Murphy on that hit musical series, as well as on "Nip/Tuck" and the recent hit "American Horror Story," will direct the new time-traveling movie musical.
The plot centers on a teenage girl who gets trapped in the 1980's with her mom as her best friend.
Yorkey is the Tony Award and Pulitzer Prize-winning lyricist-book writer of Next to Normal.
Steve Golin, Joy Gorman and Matt Weaver are producing for Lionsgate.