Redfern joined Connect after the 2001 general election and has been responsible for generating new business. He has led the agency's work for the Royal Pharmaceutical Society of Great Britain and occupational pensions group Unite.
His other clients include Unison and the Civil Service Pensioners' Organisation. McMillan said that Redfern had been hired for his financial services and healthcare expertise.
FH has also recruited Morgan Allen Moore account manager Helen Macdougall as an associate consultant.
The agency's public affairs practice is now 14-strong.