The simple answer is that the PS5 controller is not compatible with the PS4. However, there is a workaround for fans adamant about using their DualSense with the PlayStation 4 anyway. ... Once the connection is established, the PS4 can be controlled remotely using a DualSense controller plugged into the PC via USB.
How do I get my PS5 controller to work on my PS4?
Using a USB cable, connect your PS5 controller to your PC and link it up to the PS Remote Play app. Once the Remote Play app is up and running, you should be able to use the PS5 controller (which is still connected to your PC) to control your PS4.
Will the DualSense controller work on PS4?
Unfortunately, the DualSense isn't compatible with the PS4. On the surface, it might seem like Sony wants fans to buy more DualShocks, instead of using any DualSenses they might have lying around, in cases when there are households with multiple consoles.