Giggs was also presented with a watch and the players' changing room at the Aon Training Complex was plastered with pictures of the veteran, who had threatened to stay in bed to avoid any potential pranks to mark his big day.
"Everyone had a Ryan Giggs mask on," Moyes told MUTV.
"The dressing room was full of pictures of him. He looked as though he was in a boy band when he was much younger.
"They also got him a coach's watch - I think they are trying to push him out of the door - but he took it well."
Past and present team-mates have been lining up to pay tribute to Giggs over the past few days.
Yet, on the evidence of his brilliant performance against Bayer Leverkusen on Wednesday, it could be a while before he is ready to call time on the most decorated football career the English game has ever known.
Certainly Moyes has received a major surprise from what he was expecting when he joined United in the summer.
"When I came I expected to see someone who must be dropping off, must be fading," said Moyes.
"I thought it would be obvious and I heard a lot of pundits thinking that as well.
"I came with the idea that maybe he is not quite the same.
"But I can honestly say he has been fantastic.
"For Ryan to be playing so well at his age is terrific and a great example to young players about how you should dedicate yourself throughout your career. Also to players who get into their early to mid-30s and think things are coming to an end it shows if you really look after yourself and train well, you can go on for a lot longer."