If the Apple Mail not receiving emails after migrating to a new Mac, it usually happens because account settings didn’t sync properly during migration. Saved passwords, IMAP/SMTP server details, or authentication tokens may be missing or outdated. Network settings, Mail rules, or iCloud sync delays can also affect background syncing. To fix this, recheck account settings, re-enter passwords, force-sync or rebuild the mailbox, and update macOS. Also confirm your mailbox storage isn’t full. To stay safe during migration issues, keeping a backup with the SysInfo iCloud Backup Tool helps ensure your emails remain accessible.