@Tarun Mehta Thank you for reaching out to Microsoft Q&A. I understand that you want your Domain2 users to access the File Share without AD authentication.
For this, you can make use of the Storage Account Keys. A storage account key is an administrator key for a storage account, including administrator permissions to all files and folders within the file share you're accessing, and for all file shares and other storage resources (blobs, queues, tables, etc.) contained within your storage account. However, please remember that using this option you cannot restrict files/folders to particular users or groups.
Please refer to this link for more details on the same. Hope this helps.
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