Currently, Connected Boards is a staple of Monday.com. It allows different teams to work in their own boards but make available the important information to other teams. The Jira integration is also a staple in Monday.com.
The Jira integration currently cannot take information from a Connected board or a mirror. I have created a Formula to take the connected Board information and display it as text, however Jira does not support taking this information out of a Formula either, which means that there is no good path to passing information from more than 1 board into a Jira ticket.