Hi there @visarunas,

What I usually do is use a MySQL backup tool like mysqldump for example. It allows you to export your databases without SSH access.

To export a backup you could run the following command:

mysqldump -h your_database_hostname -u your_username -p your_database_name > your_database_name-$(date +%F).sql

You could also take a look at this tutorial here for more information.

Hope that this helps.
Regards,
Bobby