The leaders refrained from directly attacking Rahul Gandhi but specifically targeted the team of the party Vice President.
The criticism came days after Congress President Sonia Gandhi and Rahul offered to resign accepting responsibility for the rout but the party had unanimously rejected it.
Their offer came at a meeting of the Congress Working Committee(CWC) on Monday against the backdrop of rumblings in the party over the style of functioning of 'Team Rahul' and demands for action against them.
"My comments are out of emotions of deep loyalty to the party, pain of our performance & a sincere desire to see us bounce back. Nothing more," Deora said on Twitter.
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In comments that stoked a blame game within the party and appearing to question 'Team Rahul', he said, "Field party work & electoral battles are key to comprehend ground realities. This should form the basis for leadership posts in Congress."
Chaturvedi said while whatever Deora stated might not be fully correct but "large portion of what he said is correct".
The remarks are considered significant in the wake of a growing perception in the party that a number of people with no electoral experience and novices in politics were given key roles in shaping up the decisions of the leadership on issues like campaigning and alliances.
AICC Secretary Priya Dutt, who met Congress President Sonia Gandhi today, also talked of a "disconnect" of the party leaders with the people.
Both Deora and Dutt lost the elections in Mumbai and are considered to be part of Rahul's team. It may be mentioned that Deora's assertions in the past on some issues were also followed up by action taken by Rahul.
However, leaders like Capt Amarinder Singh, who won from Amritsar, said Congress should take "collective responsibility" for the rout in which the party got just 44 seats.