My iPad was not syncing my notes with my iPad even though all my notes were being saved on my iCloud account. I then backed up my ipad and restarted my ipad and all my notes were erased. I cannot retrieve them anywhere even on my iCloud.

See >>> Delete and recover notes on iCloud.com - Apple Support

If your Notes were synchronised with iCloud Notes, they should be recoverable if accidentally deleted. If instead you were not using iCloud Notes, your Notes should have been included within your iCloud or iTunes backup.

However, be aware that iCloud backups are incremental. If your iCloud backup has been refreshed since the Notes were deleted, the deleted Notes will also have been removed from the iCloud backup - and will be unrecoverable.