Hmmm, so in your Applications folder there is no Sims 4 app? That would indicate that you don't have it installed on your Mac, not even the base game. The Documents > Electronic Arts > The Sims 4 folder is your user data where Saves, CC/Mods, cache and all user settings are stored. You can move or rename this folder to a different location and the game will generate a new one when it is launched. It's the primary troubleshooting step if the game will not launch.
Even though we have to use Origin to play the game, there should still be a game icon in your Applications folder as that is where all software is installed to by default.
