The error you are receiving indicates that the server doesn't have SQLite or its PHP modules installed. You can check the essential parts of the PHP environment by issuing php -i | grep -i sqlite on a terminal. It should result a list containing at least
  PDO drivers => sqlite pdo_sqlite SQLite Library => <version_number> PDO Driver for SQLite 3.x => enabled SQLite support => enabled 
 You can install SQLite with apt-get install sqlite3 php5-sqlite, although there might sometimes arise issues with PDO drivers and they need to be fiddled with before everything is working.