For all intends and purposes, LOD and its generation works the same for each supported game mode.
Obviously different versions of the requirements need to be downloaded and installed.
Generally refer to the Skyrim Special Edition / Skyrim Anniversary Edition documentation. The game mode is SSE.
Runtime Versions
On September 29, 2022 Skyrim Special/Anniversary Edition was released on GOG.
In case the Steam and GOG runtime versions are equal, each still requires its own SKSE and DLL plugin versions.
SKSE64GOG, DynDOLOD DLL SE are available available for runtime 1.6.1179. DynDOLOD DLL NG for 1.6.1130+ should work.
Installation
Refer to the Installation Instructions.
Use the -m, -p and -d command line arguments to set the INI, plugins.txt and Data paths when starting the tools. For example:
-m:"c:\Users\[USERNAME]\Documents\My Games\Skyrim Special Edition GOG\" -p:"c:\Users\[USERNAME]\AppData\Local\Skyrim Special Edition GOG\plugins.txt" -d:"c:\GOG Games\Skyrim Special Edition GOG\Data\"
Replace [USERNAME] and the INI and Data folder paths accordingly for the actual setup.
Do not link to files or folders in mod manager profiles. Link to the files and folders used by the game.