The restructure aims to reduce costs and streamline the management structure at McCambridge, which supplies Soreen and own-label bakery lines to the major multiples.
Cox has worked as CEO and chief financial officer since November 2007. Executive chairman Andrew Coppel CBE, who joined the business last October, will take over the chief executive duties and two newly appointed business unit directors will report directly to him.
In January, Paul Tripp took responsibility for flagship brand Soreen, while George Walsh was made MD of the company's own-label division. Capping the executive team changes, Mark Devine was promoted to director of finance and strategy this month.
"When I joined the business in October, I decided several changes were needed to its structure," said Coppel. "We wanted to create a shorter, more effective reporting structure for a streamlined organisation, making us much more customer focused."
The changes are part of efforts to cut costs and improve performance in the wake of recent refinancing of the business's balance sheet by Barclays.
McCambridge had sales of £141m in the year ending June 2008. "We're facing a very tough market, but we now have a very strong and experienced executive team," said Coppel. "We're reviewing our business strategy and expect more changes in due course."