Creating that shortcut is done by the Google Play Store app, which has a setting for that. So:
- start the Google Play Store app
- go to its settings page
- check the setting for creating shortcuts (and enable it).
I currently can't tell you what exactly that item is named (I have no device with Google apps installed available at the moment), but it should be easy to identify. On the other hand, there's always a Google Image search :)
Google Play Store settings (source: ProgrammerGuru; click image for larger variant)
For a detailed description, please see the source of that image: How to create and remove shortcut for Android application?.