after moving my project folders to another folder, the recent projects list always empty (also when creating new project in new place)
i was change path in file located in \AppData\Local\EpicGamesLauncher\Saved\Config\Windows\GameUserSettings.ini
to
[Launcher]
CreatedProjectPaths=F:/Unreal/Unreal Projects
C:\Users(user)\AppData\Local\UnrealEngine\5.1\Saved\Config\WindowsEditor
edit EditorSettings.ini
Look for ‘CreatedProjectPaths=’
Update the path to your new location.
It should now show all your projects in the recent project tab when you relaunch the editor.