Roy Keane was "shocked and saddened" by how bad Manchester United were in their latest defeat while Jose Mourinho agreed there had been no improvements.
Andriy Yarmolenko had given West Ham the lead, before Aaron Cresswell finished United off with a stunning free-kick late on.
The Reds, who have finished in the top four just twice since Sir Alex Ferguson retired in 2013, have not won on their travels in the Premier League since February - a run of seven matches equalling an unwanted club record.
Former United captain Keane, who won 13 major trophies during his spell at Old Trafford under Ferguson, said on Sky Sports: "I was shocked and saddened by how bad they were today.
"They were lacklustre, no quality, lack of desire, lack of leaders, lack of characters. It's a long way back for United but scary how far they've fallen."
Former United boss Jose Mourinho, sacked by the club in December of last year, echoed Keane's words and admitted he did not have anything good to say about the visitors' performance.
He said on Sky Sports: "I can't find any positives. We were bad last season, but I don't see any improvement this season - even with three new players.
"I have to say, players with a positive impact. I like the three and I think they're bringing good quality to the team.
"But the team, as a team, I don't like at all. I'm not surprised by the result and I don't think Ole (Gunnar Solskjaer) can take many positives from the game."
United manager Ole Gunnar Solskjaer was told about Mourinho's comments in the post-match interview and said: "He's got the right to his opinion," before pointing out Mourinho's United also lost at West Ham last year.
"It was a game that could have gone both ways. The key moments, they grasped and we didn't. I have to say two fantastic finishes from two good left feet. And we didn't take our chances when we had them.
"It's one of those moments. We've historically had loads of centre-backs struggling with injuries over the years.
"At the moment it's the strikers. That's just how it's gone. Hopefully Mason and Anthony will be back for the Arsenal game, and at least one of them for Rochdale."
Meanwhile, former United defender Patrice Evra suggested on Instagram that he was willing to get involved to help his old club.
He posted: "I think it's time to get our hands dirty! Manchester United board, are you ready to let us help you guys?"
West Ham appeared to mock a song Manchester United fans sing about Solskjaer by posting a picture of their manager Manuel Pellegrini under the words 'at the wheel'.