Francesca Russo, the architect who handled the restorations for the Jacobs, Schoenfeld, Golden, Music Box, Booth, Shubert, St. James, Belasco, Barrymore, Eugene O'Neill, American Airlines, Studio 54, Winter Garden, Al Hirschfeld, and August Wilson Theatres, lists in her current projects: "the interior restoration of the classic Lyceum and Cort Theatres."
Her website, Francesca Russo, has some small renderings of the Lyceum ceiling and box restorations. There's also a page with details about the 15 previous restorations, and some of the work involved. Really interesting, and I'm glad that the Lyceum and Cort will receive the same first-class treatment as these other houses at some point in the future.
Lyceum ceiling:

Lyceum box:

Begin at the beginning and go on till you come to the end: then stop.