Baria Frontiers appears to be an exploration or mapping organization. There is a Baria Frontiers store kiosk outside the police station on Illium where you can purchase star charts to aid your exploration of the universe.
A Baria Frontiers representative is located near the store kiosk and is linked to the Illium: Medical Scans assignment.
The Baria Frontiers representative, Erinya, is in possession of a contract that takes advantage of colonists. She initially refuses to amend the advantageous contract on the grounds that she dislikes aliens. The representative's dislike stems from her bondmate dying on the quarian homeworld during the Geth uprising and from her daughters (one who worked in the embassy, and one who worked as a greeter for the consort) being killed during the Battle of the Citadel.
Notes
The Illium: Medical Scans assignment contains further interaction with Erinya, in which the Baria Frontiers story continues. Moderate paragon or renegade levels are required to fully complete this assignment.
Star charts sold at the Baria Frontiers kiosk are useful for allowing further galaxy exploration and the subsequent mining of mineral deposits from rich planets. They are also necessary to access all of the N7 Assignments.
The following clusters can be made accessible via the Galaxy Map when info is purchased as this kiosk: