Hi!
I didn't know LTN was updated for 2.0 even. I don't have any working saves with LTN and 2.0 base game. Can you attach one?
Also you can try the following:
1) Go to your mods dir (c:/user/USERNAME/AppData/Roaming/Factorio/mods in case of Windows)
2) extract LTN_Screensaver archive to the same dir; structure should become something like mods/LTN_Screensaver_1.1.3/{files}, not
mods/LTN_Screensaver_1.1.3/LTN_Screensaver_1.1.3/{files}
3) open mods/LTN_Screensaver_1.1.3/info.json
4) change factorio_version from 1.0 to 2.0.
That might be enough