In order to see the cards in Trello, JIRA, or Pivotal Tracker you have to send them from StoriesOnBoard to these tools first.
You can send the cards one by one to Trello/JIRA/Pivotal Trackeby by clicking on the cards' "..." menu.
You can also send all the cards in a release by choosing "Push cards to Trello/JIRA/Pivotal Tracker" from a release's menu.
After the cards are sent, their status, title, and description are synced automatically between the two systems (if you chose to sync them in the integration settings).
You can find more details in the general integration article.