I lost shared album on MacBook few days ago.

You might have blocked your mail address on Mac Block or unblock senders in Mail on Mac - Apple Support 

As to share albums from your Mac to other person , the invitation has to be subscribed ( Use iCloud Shared Albums with iPhone - Apple Support )

• Turn notifications off: Tap the Notifications button. Tap again to turn notifications on.

See the article If Shared Albums aren't working - Apple Support

See the section - Invites and subscribers

Hello MINJZIK,

It looks like you've had the opportunity to review the steps in the related article above: If Shared Albums aren't working - Apple Support

If that behavior persisted after completing those steps, you'll want to reach out to Apple Support: Apple Support They'll be in the best position to look into this further.

Take care.

HI MINJZIK,

simply go to photos app on your Mac, click photos on top menu. select settings button.

It will open up a popup. Click 2nd tab, iCloud tab on popup & check / tick on shared album.

You will get shared album on your Mac too. Hope screenshots would be helpful too.

Thanks & Regards,

Sudhakar Arjunan