Marco Manetti has expanded the 22-page notes you mentioned into a 574-page text book: <A HREF="https://books.google.nl/books?id=l9l-EAAAQBAJ">Lie Methods in Deformation Theory</A>. It is advertised as *"being the first book to apply the differential graded Lie approach to deformation theory of complex manifolds".* The hard-cover is very expensive, the soft-cover less so (40 Euro).