Thanks a lot for the hint. I tried it out before my post and now again. But it change nothing. Still no way to activate any module because of this expired security token (no clue which security token). An other pount could be:
When I try to install v13 with the option to create a Superuser (below the database entries) I get the message:
mysqlnd cannot connect to MySQL 4.1+ using the old insecure authentication. Please use an administration tool to reset your password with the command SET PASSWORD = PASSWORD('your_existing_password'). This will store a new, and more secure, hash value in mysql.user. If this user is used in other scripts executed by PHP 5.2 or earlier you might need to remove the old-passwords flag from your my.cnf file
My database version is: MySQL or MariaDB 5.5.5-10.3.27-MariaDB-0+deb10u1
But I can install when I set the superuser name and password after the databse creation. - But as described above with this expired security token handicap.