Try: 1. Qh8? [2. Qxg8#]

 1. ... Kb8 2. Qxg8#

 1. ... Rf8 2. Qxf8#

 1. ... Re8 2. Qxe8#

 1. ... Rd8 2. Qxd8#

 1. ... Rc8 2. Qxc8#

 1. ... Rxh8 2. Rxh8#

  But 1. ... Rb8!

 Solution: 1. Rh8! [2. Rxg8#]

 1. ... Rxh8 2. Qxh8#

 1. ... Rf8 2. Rxf8#

 1. ... Re8 2. Rxe8#

 1. ... Rd8 2. Rxd8#

 1. ... Rc8 2. Rxc8#

 1. ... Rb8 2. Qh1#   (Authors)