Toure was the first to air his views:
With Nasri following in the early hours of the morning:
Such a comprehensive derby defeat has left United fans directing their ire toward manager David Moyes and former boss Sir Alex Ferguson.
It's a move which certainly hasn't pleased ex-United goalkeeping legend Peter Schmeichel:
The remarks of Toure and Nasri will hurt Manchester United fans, who are still reeling from a similar defeat to Liverpool.
Whilst Manuel Pellegrini's men go from strength to strength and have genuine hopes of winning the Premier League title, David Moyes' season at United goes from bad to worse.
The derby loss was United's 10th defeat of the season and sees them languishing in seventh place in the table, some 15 points behind their rivals who still have two games in hand.
For a team that won the title last season to fail so abysmally during this campaign is galling enough for their supporters.
And whilst Schmeichel may not like the reaction of those who pay their hard-earned money every week to watch their heroes, it's completely understandable.
To then have players from your nearest rivals gloating and revelling in victory really is the icing on the cake.
Significantly, not one message has been seen on social media platforms from any United players since Tuesday's defeat, according to Chris Cutmore of the Daily Mail.
Despite the manner of the loss, another ex-United legend Paul Scholes has also come out in support of Moyes.
Per an interview on Sky Sports, Scholes was asked if the club should continue to stick with the Scot:
You have to. He's only nine months into the job. You have to stand by him.
OK, he's made a couple of signings that haven't quite worked out yet, as he would have liked.
In the summer, he's going to need backing - there's no doubt about that.
Whilst wholesale changes are unnecessary for a side who lifted the title less than 12 months ago, players such as captain Nemanja Vidic must be replaced with high-quality arrivals.
Judging by the gulf between City and United at Old Traffford, those new signings will need to be a step up on what Moyes has inherited if United are to be capable of challenging for honours again next term.