joinski Hello! Thanks in advance for the answer.
So, the problem I had with the batocera as I said, was that it did not locate my dualshock 4 via bluetooth. The controller worked fine, but only via USB cable. And, when I connected it with the USB cable (in a strange way) there were 2 control icons in the upper left corner instead of just 1, but that did not hinder the use of the control at all.
These problems that I reported, occurred yesterday (19/04). When I ran the batocera today (04/20), the system went back to work, located my dualshock 4 via bluetooth, and I was able to play. To do the test, I restarted the system a few times and it recognized my control 100% and now everything is working properly.