BackWPup never had a restore option (afaik). Normally you restore a database by using the mysql client or a tool like PHPMyAdmin.
With mysql you could do the following:
– extract the archive that has been created by BackWPup (contains all files in your backed up WP directory)
– look for a file with a .sql extension (contains a dump of your WP MySQL database)
– use mysql (on the host that hold your databse) to restore your database like this:
cat <whatever.sql> | mysql -h localhost -u <wp_db_username> -p<wp_db_password> <wp_db_name>
Replace the words in <> with your .sql-file/username/password/database-name