From the screenshot you sent, it didn't look like you are using the CommCare Android mobile application as your data collection tool, which is the subject of the documentation you linked.
You can use CommCare's Android Mobile app if you'd like to collect dates in those formats, accordingly. Otherwise you'll need to follow up with the author of the form engine you are using to collect data to determine if their tool supports the same.
Since you are using Enketo for form rendering, any changes you'll need to make to change how the form renders would need to be through the Enekto software, which is outside of the scope of this forum, unfortunately.
CommCare also supports a web browser xform player which you may want to explore. This community of practice can offer more assistance with that tool.