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.
The new PUMA evoSPEED 1.2 FG. A great new soccer cleat with classic look and first time for PUMA to be on the cleat.
Ajax has released their away soccer jersey for the 2013/14 season. Get in the Gear.
Bayern Munich are kings of Germany and hope to be crowned kings of Europe at Wembley later this month!
Borussia Dortmund hears Wembley Calling and are headed to London for the Champions League final.
One of the top soccer cleats for control the Nike CTR360 will not let you down on the field in tight spaces.
The Juventus jersey for the 2013/14 was released earlier this week. Be the first to wear the colors of the Old Lady.
The push for more color on their cleats, adidas has added the infrared colorway to the adiZero f50 Line.
adidas has added some color to the Predator line with this new colorway. Released on May 17. Be the first to own a pair.
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.
Chelsea won the Europa League on Wednesday. The Blues defeated Benfica 2-1 on injury time goal from Ivanovic.