I have to say I think the Villa fans are pathetic. They have massive delusions of grandeur about this sort of thing, when the reality is look at their poor side and the funds Lambert has at his disposal. They were never going to mount a serious challenge in the League Cup and while it is a poor result for them, they played a weakened and imbalanced team. I would say they should actually be delighted with their team, given their PL position despite the lack of investment in the squad (which has meant Lambert has been forced to reinstate the likes of Hutton and Bent).
If they have a gripe, it should be with the owner who is no longer willing to invest.