If you don't see the new art assets in the game then you probably haven't copied the files from MOAR_Units_Assets correctly. The files that need to be in place within the game directory for the current version of Moar Units are:
../Sid Meier's Civilization VI/Base/Civ6.dep (overwrite)
../Sid Meier's Civilization VI/Base/ArtDefs/Units.artdef(overwrite)
../Sid Meier's Civilization VI/Base/ArtDefs/Units_Moar.artdef(new)
../Sid Meier's Civilization VI/Base/Assets/UI/Icons/Icons_Units.xml (overwrite)
../Sid Meier's Civilization VI/Base/Assets/UI/Icons/Icons_UnitPortraits.xml (overwrite)
../Sid Meier's Civilization VI/Base/Assets/UI/Icons/Icons_UnitFlags.xml (overwrite)
../Sid Meier's Civilization VI/Base/Assets/Text/en_US/MOAR_Units_GameplayText.xml (new)
Due to the current incompleteness of mod support you will need to restart the game between each new game or reloaded savegame for game text to display correctly.
I reinstalled exactly as you showed. Each time I was asked to overwrite the appropriate files, and did so. Started Civ and same missing art model for Spain Jinete.
The Moar_Units files that are to go in Documents\My Games\Sid Meier's Civilization VI\Mods, should those be loose or in the Moar_Units folder? I've tried both methods, and doesn't seem to make any difference.