Giving regions in diplomacy is when a city a faction wants can come towards to the faction who sent the deal or is sending the deal, along with this, if you pay a faction, the chances of deals happening will increase. The next log will be about the giving regions and payment. Cities Revealed: Lucatia
The infdev screenshot is from turn 195, where the Jamba Religion send a offer to Auricus to send them a city, as well as giving them a lot of KirbyBucks in the process. They have been at war since turn 183.