The APA awards, which were held last night, also honoured three Seven Squared titles, two from Haymarket Network and Cedar Communications, while John Brown, Sunday, Future Plus and BBC Customer Publishing also received an award each.
Redwood gained the biggest award of the evening in securing the Customer Publishing Solution of the Year award for its Boots Parenting Club magazine, which was also nominated as Most Effective Membership Title, having signed up 870,000 since launching.
The publisher also picked up Most Effective Business-to-Business Title for its Royal Mail Contact title, International Publication of the Year for Land Rover Onelife, plus individual awards for Designer of the Year, which was won by Tan Parmar for Volvo's Liv, and Editor of the Year, which went to Zac Assemakis at Land Rover Onelife.
Seven Squared picked up Most Effective Internal Communication for the Metropolitan Police's The Job, Most Effective Retail Consumer Publication for online fashion title and Launch of the Year for Coutt's A Journal of Interest.
Meanwhile, Haymarket Network won awards for its British Army magazine Camouflage, which topped the Most Effective Public Sector Title, and British Army Recruiting Group title One Army, which won in the Integrated Marketing Solution of the Year category.
Cedar Communications also picked up two awards, gaining Most Effective Finance Title for Liontrust's Roar, and an individual award for Claire Wrathall, who won Journalist of the Year for her work at British Airway's High Life magazine.
Elsewhere, four publishers picked up an award each: BBC Customer Publishing's About The House for The Royal Opera House won Most Effective Travel and Leisure Title; Sunday secured Most Effective Automotive Title for Toyota's Today, Tomorrow; John Brown's picked up Online Publishing Solution of the Year; and Future Plus' Sky Movies magazine for BSkyB succeeded in the Most Effective Non Retail Consumer Publication.
The APA said more than 120 new customer publishing magazine launches had taken place in the last six months, proving the industry and competition for awards was strong.
Julia Hutchison, chief operating officer of the APA, said Parenting Club was a "triumph of customer publication" that "demonstrates a brilliant understanding of its audience".
Hutchinson said: "Nothing speaks louder than clear, measurable results and that's exactly what all of our winners demonstrated."