So without any quotes or indication they turned down offers you assume they did. I believe the main story came up when Fergie was quoted as saying he was surprised Moyes replaced the back room staff as Fergie had directly advised him to keep them in place. Fergie was pretty ticked off with it and thought it a bad idea.
As for turning down offers, they may well have done, you haven't stated what offers though.
if Moyes comes in and brings a new assistant manager and offers Rene head of youth coaching or something and he turned that down, it makes both stories true. Considering it was Fergie who was quoted as saying they were replaced, and you can't find anything contradictory then I'm going to go with Fergie on this one.
I pointed it out at the time Fergie mentioned it as a pretty big story and a huge mistake by Moyes. He bought in "his" staff pretty quickly and as above, he may have made them offers for other jobs but then not accepting lower jobs doesn't mean they also weren't replaced.
http://www.telegraph.co.uk/sport/fo...dvice-over-restructure-of-coaching-staff.html