The dualsense controller is slightly different to the dualshock 4 that was designed for the PS4. Sony have made some changes on the PS5 to make the dualsense work with PS4 games. These changes are not applied to the PS4. No recommend you play PS4 games with the Dualshock 4. Since none of the PS4 games were designed to use this controllers features and the PS4 itself was not designed to use them, it will not be possible to use this controller with a PlayStation 4.