You have to use AdMob, not AdSense, for mobile applications. The module you linked to is correct, and in working order (I'm using it currently in production apps with only minor modifications).
In android, after you have included the module in tiapp.xml, you also have to add this to your tiapp.xml:
<android xmlns:android="http://schemas.android.com/apk/res/android">
<manifest android:versionCode="1" android:versionName="1.0">
<uses-sdk android:minSdkVersion="11" android:targetSdkVersion="16"/>
<tool-api-level>16</tool-api-level>
</manifest>
</android>
These settings worked great for me, also make sure you actually have that SDK and tool level, if not open up the Android SDK manager and download them.