I have updated to MacOS Version 10.15.6 (19G73).
The first thing I realized is that my Totu universal dock didn't worked with the screens, but it did charge my Mac.
In order to modify this situation I took the following steps.
1. I downloaded the Display Link Manager (Version 1.0, Released June 22, 2020) for Catalina 10.15.
https://www.displaylink.com/downloads/macos
And subsequently followed all the instructions.
Still no image. No display extension.
2. I clicked on LaunchPad.
3. I searched for DisplayLink.
This asked me to allow the the drivers/software/whatevers into the Security & Privacy section of Settings. That will request to close the program.
4. Repeat step 2. Now it should work.
5. Go straight to Settings>Display and figure out whether your external displays are being recognized. They should be recognised on step 4, but they will be disarranged.
Hopefully it works for you too!