If you installed Site Sculptor to your local testing server instead of your live server, you will need to go through the same process that you would normally when moving a site from testing server to live server.
This includes the following steps:
1. Update the database connections file to refer to your live database (Connections > PowerCMSConnection.php)
2. Create a .sql dump of your testing server database.
3. Import the .sql file from your testing server to your live database.
If you have not yet updated the content of your site from within the CMS, I'd recommend that you recreate the Site Sculptor site and then upload the files directly to your live server. This will allow you to run the Installation Wizard on your live server where you can make sure your server has everything it needs to run properly and it will do the database work for you.
If you saved your Site Type and Site Design as new presets when in Site Sculptor recreating the site should be just a few clicks of the mouse.