"Table doesn't exist in engine" after moving tables from one VPS to another

You can copy files from one server to the next to move your database. To do this, you must make sure that both instances of your DB are stopped. I also recommend using rsync to copy your database files. In addition to making sure that both database servers are stopped before moving the files, you will most likely need to change the ownership of your files. sudo chown --recursive mysql:mysql /var/lib/mysql before starting your new instance.

There are other options available to move your database. If your database isn't terribly large, mysqldump is probably the most simple. I have attached the documentation for mysqldump below as provided by MariaDB, as you are using MariaDB.

https://mariadb.com/kb/en/mariadb/mysqldump/

Another option to consider, a bit more complex but a little more flexible for size, would be Percona's xtrabackup.

https://www.percona.com/software/mysql-database/percona-xtrabackup

If you are just moving your DB from one folder to another folder, but your InnoDB tables no longer work, because they can't be found and the error message "Table does not exist in the engine" is displayed, then these pair of SQL statements can be as quick as helpful:

ALTER TABLE __yourtable_name__ DISCARD TABLESPACE ;

ALTER TABLE __yourtable_name__ IMPORT TABLESPACE ;

In pratice, the .IDB file is detached from .FRM file and then bound again, so that table contents turn into readable.

It worked in my case. Hope yours too.