The failure comes just 18 months after the business and assets were bought out of administration by BCP director Martin Draycott.
Andrew Andronikou and Peter Kubik, of insolvency practitioner Hacker Young, were appointed as administrators on 25 January.
The administrators have not returned requests for information and it is unclear what plans they have for the company. However, BCP's phone number no longer connects.
Draycott was a director of BCP when it failed in July 2008. He set up Church Street Litho as a purchasing vehicle and bought the business and assets of BCP back from the administrators, Andronikou and Kubik, two days after it went into administration.
He was later joined at Church Street Litho by John Ruck – the former managing director of Euro Media Solutions and its predecessor Bridge Communications – which closed in August last year.