The Reds have stuttered under Rodgers' stewardship so far this season, struggling in both the Premier League and Champions League, although they are through to the quarter-finals of the Capital One Cup - where they will travel to Bournemouth in the next round.
That is in stark contrast to the for they showed last season, when the Anfield side were points away from winning the league title.
And Meulensteen believes he has identified the Liverpool manager's 'biggest failure' - his inability to invest in a coach that has had Champions League experience.
"Brendan Rodgers' biggest failure is that he's not invested in his staff," the Dutchman told BBC Radio Five Live.
"He has got there because of his philosophy and I rate him for that. He has obviously got people around him who he obviously thinks are the right ones.
"But I think he could have done with someone who has been there, seen it and done it.
"Playing in the Premier League and the Champions League, it's a different rhythm that requires a different style of training and a different management strategy through the week. You need to know these things."
Meulensteen spent several years working with Sir Alex Ferguson at Man United but was sacked during his first foray into Premier League management after just a few months at Fulham.