I attempted to place Relic+2 that had an active trial. It only says there's an issue with it when you place with trial on them. If you remove the trial, the moogle doesn't even acknowledge a trade to him. Easy to replicate, can't find way to fix this.
The trials have been canceled already. He won't take any of the +2s I had before I came back. The trialless, and the canceled trials are not accepted.