Note: In order to transfer ownership you must be a member of the organization.

1. Go to repo Settings
2. Scroll to the bottom of the page, under Danger Zone
3. In the Transfer ownership section press the Transfer button
4. In the pop-up window, in the available field look for the organization and select it. Below you will be asked to confirm the name of the repository
5. Press I understand, transfer this ownership

After the transfer process you will lose the ability to make direct modifications to the repository so you will have to request to increase your permissions on the repository, this clearly only applies to Translation Coordinators.