Ten workers will be retained at Chelmsford's City Link depot after a rescue bid failed to come to fruition.
The remainder of the formerly 48-strong workforce at the premises in Atholl Road were made redundant on New Year's Eve.
Administrators Ernst & Young said: "An offer was made by a consortium which offered no money up front and significantly undervalued the assets to be acquired.
"The administrators proposed an alternative structure that would be acceptable and common in these situations.
"The consortium, despite attempts to make them reconsider, declined to amend their original offer."
A total of 2,356 redundancies have been made across the company's UK sites.
Only 371 people have been retained by City Link Limited to deal with the parcels that remain within the company's network, and to assist the joint administrators in realising the company's assets and winding down its operations.
