With steam there is an option to add a game so it is shown in it.
Add to games library.
The problem is this with games you have installed previously with Steam or Origin, both catalogue the games you have in your digital download lockers, and apply there own short cut to the game linked through the apps used.
Steam ID: for each steam game title.
If when you downloaded and installed the game by digital download to another drive other than C:\ program files\ steam.
For example setting the download and install to for example D:\ games\ game title .
Then as long as you have the latest version of direct x installed on your system or any other program such as Microsoft visual that a game may require when running, and the game save...