The Olympic champions relinquished their World Series crown, finishing third behind runaway leaders South Africa and England.
Baber missed the opening two legs of the campaign, after completing his contract with the Hong Kong Rugby Union, before linking up with the team in time for the final round of the Wellington Sevens in January.
The Welshman led Fiji to three finals and one Cup title in his first five events but they failed to make it past the quarter finals in the final rounds.