Didn't he also punish Lutter from his back?
Not really, Lutter controlled Anderson easily before doing what he does best, getting gassed. At that, he still got another takedown but made no effort to pass, strike or defend subs.
All the same I think in the last fight Anderson showed much improved BJJ with stifiling his opponent and keeping them from working on strikes or passing, and if he managed to do that with Chael then it will be no bother for Sonnen.
I will not send my mental thoughts out to Bonnar to make him go balls to the wall in this one!