Hi, @Gurudas
Welcome to the Microsoft Q&A platform!
Based on your description, can I understand that you want to copy the data from the old mailbox to the new mailbox?
Here are some suggestions you can try:
1.Copy emails using Search-Mailbox.
Note: In cloud-based environments, the Search-Mailbox cmdlet was deprecated in favor of New-Compliance and related eDiscovery cmdlets. More information can be found Search-Mailbox (ExchangePowerShell) | Microsoft Learn
2.Copy emails using New-ComplianceSearchAction
You cannot directly copy the emails across to the target mailbox using the New-ComplianceSearchAction cmdlet. However, you can export the search results to a PST file and then import the PST.
3.Copy Emails from one mailbox to another using Outlook.
You can copy messages from the old mailbox and paste them into the new mailbox by giving users full access.
4.If you don't feel that the quota of your old mailbox is enough to receive new emails, you can also turn on an archive mailbox.
Related Power Shell commands, as well as screenshots, you can take a closer look at the article.
Copy Emails From One Mailbox To Another In Office 365: [4-Ways] (techpress.net)
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