The Reds' last-gasp win over Leicester City a day earlier opened up a sizeable lead over Pep Guardiola's side, who were unable to reduce the deficit after an insipid display.
City were second best to their well-drilled opponents for long periods, with Traore's two breakaway goals in the final 10 minutes handing Nuno Espirito Santo's side a thoroughly deserved three points.
Adama Traoré has stunned Manchester City! pic.twitter.com/5MpCRI5Zxm— NBC Sports Soccer (@NBCSportsSoccer) October 6, 2019
The result means the Premier League champions have already lost two of their eight league games this season, while Wolves move up to 11th after just their second win of the campaign.
The assist from Raul Jimenez and the finish from Adama Traoré that sealed the three points for Wolverhampton 😤🐺 pic.twitter.com/PcdbJ86Po3— NBC Sports Soccer (@NBCSportsSoccer) October 6, 2019