Xbox for Android refers to several things, depending on the context :

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Xbox Game Pass app:

This is the most common meaning. The Xbox Game Pass app for Android allows you to browse and download games from the Xbox Game Pass catalog to your Android phone or tablet. You can play games included in your subscription directly on your mobile device. Some games are optimized for touch controls, while others may require a controller.

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Xbox Cloud Gaming (xCloud):

This is a streaming service that[SQ]s often integrated into the Xbox Game Pass app. Instead of downloading games, xCloud streams them directly to your Android device. This allows you to play games with higher graphical fidelity than you might be able to download, but requires a stable internet connection.

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Playing Xbox games on Android using a controller and a remote connection:

While less common, users can connect an Xbox controller to their Android device and use apps like Moonlight to stream games from a Windows PC running Xbox games. This isn[SQ]t officially supported by Microsoft but it is a possible configuration.

In short, "Xbox for Android" generally refers to the ability to play Xbox games on your Android device through the Xbox Game Pass app, primarily using either downloads or cloud streaming.