How Do I Move A Mautic Installation From One Domain To Another

This solution worked for me with ease
Download The Backup of the installation using Softaculous backup or add a backup ftp back location to get it to the new domain and hosting with no need to download

You can upload the tar.gz file of your backup to your installation path via File Manager and untar the same.

Now read the config file of your installation and find the database details. Once you have the database details create the database and database user and assign the database user to the database. You can do this step from your control panel.

After this you need to access phpMyAdmin from your control panel and import the softsql.sql file (which must be created after backup file untar) and once the database is imported you will need to delete the softsql.sql file.