Steps to Export Data from SFDC
1. Login to SFDC as an admin
2. Go to Salesforce setup
3. Choose Data Management-->Data Export
4. Choose Export Now button
5. Select the checkbox for BRNSHRK__Brainshark_Learning__c
6. Click Start Export
7. When process is done you will get an email with a link to download the export.
8. Download the file and send it to Brainshark in your Support ticket thread.
If it was requested to send the Brainshark Activities you can choose that object instead of Learning as noted above.