In case your phone does not show up, a notification message saying:
"Looking for Android Auto"
after successfully connected to the AAWrieless devices WiFi please make sure that Wireless Android Auto projection is enabled on your phone.
You can do that by Installing Android Auto for Phone Screen - https://play.google.com/store/apps/details?id=com.google.android.projection.gearhead.phonescreen (if you do not have an Android Auto app icon) opening the application and selecting settings. There please ensure that the Wireless Projection option is enabled.