I believe this is due to incomplete or not at all set up Xorg conf which for some reason is not done for a long time on certain Radeon systems, so those are without DRI and all the bells and whistles.
[Here some driver options could be set, eg. uncomment pageflip and set it to "True", save any edits and after that reboot]
sudo shutdown -r now
After a reboot you can check your acceleration with the commands glxinfo and glxgears -info if it works you will notice the gears running well even if quickly moving it's window but likely lubuntu gui will otherwise remain kinda slow but should be better.
I believe this is due to incomplete or not at all set up Xorg conf which for some reason is not done for a long time on certain Radeon systems, so those are without DRI and all the bells and whistles.
Did you try what I mentioned above?
sudo service lightdm stop
sudo Xorg -configure
sudo mv xorg.conf.new /etc/X11/xorg.conf
sudo nano /etc/X11/xorg.conf
[Here some driver options could be set, eg. uncomment pageflip and set it to "True", save any edits and after that reboot]
sudo shutdown -r now
After a reboot you can check your acceleration with the commands glxinfo and glxgears -info if it works you will notice the gears running well even if quickly moving it's window but likely lubuntu gui will otherwise remain kinda slow but should be better.