Hi RJaipal,
Thanks for reaching out here in the Apple Support Communities. We see that you are having an issue with your Big Sur update failing before it is completed. We're glad to help.
Before continuing with the upgrade, we recommend backing up your Mac so that your information witll be safe.
this explains how:
How to back up your Mac - Official Apple Support
Once you have a backup, you can check a few things to see why the installations is failing.
Some things to check are making sure you have enough free space on your Mac, and checking the health of your Mac using Disk Utility First Aid.
How to upgrade to macOS Big Sur - Apple Support
How to repair a Mac disk with Disk Utility - Apple Support
You can also try to install Big Sur from macOS Recovery.
How to reinstall macOS - Apple Support
Let us know what happens.
Take Care.