Yep, I think 3rd part apps are the only way how to make this backup, but I did not find any usefull app with this feature. And this is reason, why I am asking here
Holly cow... It seems to be what I am looking for :-O
This is my favorite app, but I never did not try to make a backup and date restriction set up during recovery!
Google has a convenient backup service for SMS messages and much more that uses Google Drive to store backups of all your personal SMS so it's available to restore when switching to a new phone.