Hmm I think you might want to change the grouping of those expressions, it's not particularly good as it stands:
Set-DynamicDistributionGroup "AllFacStaff" -RecipientFilter { (RecipientType -eq 'UserMailbox' -Or RecipientType -eq 'MailContact') -And (RecipientContainer -eq 'Accounts' -Or RecipientContainer -eq 'Domino Contacts') -and -not (Description -like 'Domino Group') -and -not (name -like 'Patriots Test*') -and -not (Name -like 'itsupport') }
I believe your RecipientContainer needs to be in the form:
domain.com/base OU/Domino Contacts
That is, it needs to be the full path if it's to work at all, although I haven't heard anything good about ReceipientContainer and couldn't tell you if it would work even then.
Still, give it a shot and let us know?
Cheers,
Chris