City took the opportunity to give a number of their star names a run out in Germany and Carlos Tevez was the first to try his luck after just five minutes but it took until the 39th minute for Aguero to break the deadlock, bursting clear to poke the ball past Diego Benaglio.
Toure nearly made it two before the half-time whistle but some stout defending from the home side kept the score to just 1-0.
Wolfsburg tried to apply a little pressure after the break but City were soon back on the offensive, with Toure neatly dispatching his shot on goal to make it 2-0 after 54 minutes
Joe Hart did not see too much action in the goal, with Marcel Schafer’s shot at 64 minutes forcing him into making one of his few real saves during the 90 minutes.
Edin Dzeko got 15 minutes of action towards the end while Aguero took a kick on the ankle 11 minutes from time, immediately being replaced by Roque Santa Cruz as Roberto Mancini took no chances with the Argentinian striker.