I have only seen the game, once at the match itself, and I am very surprised at the tone of these comments
To me, we were much the better side in the 1st half; Arsenal had 2 shots on target in this period yet were 2-0 up at half time. One shot was from outside the box and the other was after a defensive mistake from Mangala. If De Bruyne had squared the ball to Silva we'd had deservedly gone ahead. In general play in the 1st half we also got into more dangerous areas than Arsenal 30 yards from goal and were just a final ball from fashioning a clear cut opportunity. We had more shots and more corners than Arsenal in this period. The 2nd half we started a bit ragged but then bossed it for the last 20 minutes.
It really surprises me then having played like this away at the team whose squad is probably the second best in the league after our own, to read comments that infer our central midfield of Yaya (and Fernadinho as well who I thought was immense in his closing down) played poorly.
Yaya is integral to how we play with the ball. He exerts control with the accuracy of his passing, both long and short, and dictates the whole tempo of the way we play. I think people attribute too much to Yaya's bursting runs in defining his performance (which admittedly he is not able to do as much as he used to) when his real value is that he will make 90 passes a game with 90% pass completion rate. Fernandinho and Delph are both very good all round midfielders but Yaya's passing and the resulting control he exerts on the game is on a totally different level to theirs.
There are obviously defensive issues with Yaya but I think a way should still be found to accommodate him in the side so that he can dictate play from deep, much like Juventus fitted Pirlo into their team and reached the Champions League final.
I have not seen Carragher's comments but I did see the comments he made about Sagna in the Stoke game which seemed to be a total hatchet job. To single out Sagna in a team game, when Fernando sold himself for both goals, Kolarov did not close down Shaqiri (sp?) and Otamendi got dragged out of postion for the first, just seemed like bitter over the top hyperbole from someone without a League champions medal.