The business, which includes the J20, Ame and Britvic 55 brands, represented a significant part of Barrett Cernis' client base.
CHI, which already holds the Tango ad account, will take over the Ame, Purdeys and Aqua Libra brands, while BBH, which handles the Robinsons business, will take on the Britvic juices and mixers and J20.
The move is part of a gradual overhaul of the Britvic roster. CHI joined the roster in 2002, when it won the £5 million Tango account from the then HHCL & Partners. BBH was appointed last year after HHCL resigned the £6 million Robinsons brief because of conflict with Coca-Cola, which is handled by its sister New York agency.
Richard Collins, the brand marketing director at Britvic, said: "As our portfolio continues to expand and our overall advertising investment increases, we need regularly to review agency requirements in order to ensure we maximise value and efficiency and consolidate accordingly."
CHI and BBH both have advertising on air for the respective Britvic-owned brands they work on.
Two weeks ago, the latest burst of Tango ads from CHI broke. The ads, for Apple Tango, involve a man Velcroed to a ceiling, suspended over a bath full of Apple Tango. He waits for a train to go past to shake him loose so he falls into the bath.
The latest Orange Tango advertising is set to break shortly.
BBH's Robinson's campaign broke in March. The spots are set to the T-Rex track I Love to Boogie and show orange squash being poured into a jug before turning into dancing characters.