The Pub Manager was the man who ran the pub Nogard dna Egroeg eht on Teerts Gnilpik, retsehcnaM.
Impressario
When Rimmer and Kryten found themselves on an Earth where time was running backwards, they needed to get a job. Kryten read an advert from a theatrical agent looking for "Novelty acts". He and Rimmer auditioned as "The Sensational Reverse Brothers" and began performing their act, which consisted of mundane tasks which appeared to the backwards locals as miraculous and very funny. They quickly became a big hit on the retsehcnaM pub circuit.
Three weeks later, Lister and The Cat caught up with them at a pub called Nogard dna Egroeg Eht (The George and Dragon). It was only when they saw the pub's manager filling a glass with bitter (or "erskib") from his mouth that the duo realised that they were in a backwards universe, after thinking they were in Bulgaria. After filling some glasses, they went backstage to see Rimmer and Kryten. As Rimmer explained that they had found their niche in life, the manager burst in and started to berate them in angry, backwards speech. Kryten translated this tirade, explaining that they were being fired for starting a fight. The manager promised them that they would never work the pub circuit again.
As Kryten remonstrated with the manager, who seemed determined to be rid of The Sensational Reverse Brothers, Rimmer insisted that they were innocent of starting any fight. The truth became clear when Lister and the Cat un-ate a pie they found on a nearby table. The owner wasn't happy and a massive brawl (tidy) erupted, involving almost everyone in the pub assembling furniture over each other's heads and removing injuries. After the room had been undemolished, Rimmer realised that the manager had fired them before the fight had started and led the others back to Starbug. (RD: Backwards)
Behind the scenes
When you watch Arthur Smith's rant at The Boys from the Dwarf, it seems a very angry and determined tirade at the characters. However, when it is watched in reverse, such as can be found on the DVD release of Series III, Smith is actually insulting Robert Llewellyn and the other actors. He goes on to address the viewer who has managed to watch the recording in reverse to determine what utter nonsense he is saying, berating him or her for having a very sad life.