You can’t “reinstall” Android Auto. As Android Auto is part of the os now, you can uninstall the updates and then install the updates again. If you want to get the icon back and use the app on your phone screen, you need to additionally install Android Auto for phone Screen as well.
How do I uninstall and reinstall Android Auto?
Step Four: Uninstall and Reinstall
Jump into the Apps menu by heading into Settings > Apps. Find Android Auto. Tap on it, then tap on “Uninstall.” A popup will ask if you’re sure.
How do I turn Android Auto back on?
Go to Google Play and download the Android Auto app. Make sure your phone has a strong and fast internet connection. Download the Android Auto app from Google Play or plug into the car with a USB cable and download when prompted. Turn on your car and make sure it’s in park.