Trollope joined the club in 2004 as a player before becoming first-team coach in November 2005.
Its first lecture was attended by authors including David Nicholls, Julian Barnes, Sarah Waters and Joanna Trollope.
One of the major successes in Trollope's reign was guiding Rovers to the Johnstone's Paint Trophy final in 2007.
Former Wales international Trollope held the role of caretaker boss after Ian Atkins was sacked in the September of that year.
Midfielder Trollope began his playing career as a trainee at Swindon before spells with Torquay, Derby, Grimsby, Crystal Palace, Fulham, Coventry and Northampton.
Trollope, 38, was sacked as manager of Bristol Rovers in December, while 42-year-old Gannon has been without a club since leaving Peterborough in April.
The former Darlington, Doncaster and Oldham boss takes over from Paul Trollope, who was sacked last month after five and a half years in charge.
BBC: Bristol Rovers appoint Dave Penney as their new manager
Trollope, 38, has been placed on gardening leave with immediate effect.
The award has been funded privately this year by donors including Cherie Blair, entrepreneur Martha Lane Fox and author Joanna Trollope after Orange ended their 17-year sponsorship deal.
"It's on-going between now and the Leeds game, " said Trollope.
BBC: Stuart Campbell's future at Bristol Rovers is uncertain
Rovers currently lie 21st in League One and have not played since the Johnstone's Paint Trophy defeat by Exeter on 14 December, after which former boss Paul Trollope was sacked.
Paul Trollope's side have won just once in their last five league games and are in ninth place, eight points off the play-offs, after their worst defeat in 18 years.
Marjorie devoured detective stories, and in later years Trollope.
The first pillar boxes were erected at St Helier in Jersey in 1852, at the recommendation of novelist Anthony Trollope - who was an employee of the General Post Office at the time.
Paul Trollope's side beat Swindon 3-0 at home when the the two sides met in December but it is the Robins who have fared better sitting in fifth spot, 12 points above Rovers.
"Due to funding cuts, resources are now very tight and so it is more important than ever to ensure that attention is concentrated on the right areas of work, " said Anthony Trollope-Bellew, chairman of the Quantock Hills AONB partnership.
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