Which version of Exchange on-premises server that you used?
I would suggest you stop creating additional migration request temporarily. Check whether this migration request could continue later. Because there exist some limitation on Mailbox Replication Service.
You can also try to modify the "receiveTimeout" (Such as modify to 00:05:00) for "MSExchangeMailboxReplication.exe.config" under "C:\Program Files\Microsoft\Exchange Server\V15\Bin\" folder. The restart the "Microsoft Exchange Mailbox Replication Service", check whether could migration successfully now.
Based on my searching, there exist may thing may caused this issue. We could take step below to narrow down it:
Check whether there exist other migration request occupied this mailbox:
Get-MoveRequest -Identity '******@domain.com' | Get-MoveRequestStatistics -IncludeReport | fl
Remove this migration request, then try migrate this mailbox to anther database, it could help us check whether there exist issue with database or this mailbox.
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