A sparsebundle is your backup on a network drive. That is how Time Machine works.
When I open my TC in finder.. I see a list of the available backup sparsebundles.. Click any of them.
It will then mount to Finder.. then click the Time Machine Backup .. and track through to the file you want.
Please notice the file name might not show sparsebundle but the kind does.

Open any of them.

Time Machine Backup will then mount under devices.
Click on that.
Lo and Behold your backups from some old computer.

Click on that..

Click on that.
And you will finally reach your files.

Click on latest and there is the standard listing of all the files and folders on your computer as last backed up.
You must select the partition or disk first.

Click that and it will open the listing.

Click on users.. to get the folders for each different user.

Then open the files of that particular user.

Click into the folder structure to find exact files.. or select the entire folder and restore it.
It takes much longer to read than to do.