The 2-1 loss was a fourth consecutive defeat for defending Premier League champions Liverpool.
Afterwards at Anfield on Sunday, Carragher said on Sky Sports: "If you look at the signings Liverpool have brought in, the full-backs are quite small so there's no real great physical presence.
"Set-piece wise, is the team big enough? It looks like they are not coping very well with set pieces and are struggling with the style of the Premier League right now.
"I don't think it's one glaring problem, it's lots of things. Some of their best players from last season are not at the same levels and it's not quite happening for Liverpool now.
"They felt invincible last season, now as soon as someone beat them they have lost four in a row. It's like Manchester City last season and you couldn't believe they were losing and it's the same with Liverpool now.
"They have got to get out of it quickly but we're not going to see the best of Liverpool until the second half of the season.
"With Liverpool sometimes there is a mindset of not wanting to do the dirty work."