Ciao, Michele71 , is this happening for one user only? for others did / does it work? does it work for new user account?
If only one user impacted, I suggest to first recreate the Migration Batch for this affected user.
Second, I recommend making sure these steps from here are followed:
https://docs.microsoft.com/en-us/Exchange/mailbox-migration/perform-g-suite-migration#grant-access-to-the-service-account-for-your-google-tenant
https://docs.microsoft.com/en-us/Exchange/mailbox-migration/perform-g-suite-migration#enable-api-usage-in-your-project
Third, if these don't fix it, open a support case with us or with source side (seems like an auth throttling for consumer G suite mailbox)