You can use This code for achieving your purpose.
background.xml
<?xml version="1.0" encoding="utf-8"?>
<layer-list
xmlns:android="http://schemas.android.com/apk/res/android">
<item>
<shape android:shape="rectangle">
<solid android:color="#ff0000" />
</shape>
</item>
<item android:bottom="5dp">
<shape android:shape="rectangle">
<solid android:color="#ffffff" />
</shape>
</item>
</layer-list>
styles.xml
<resources>
<style name="AppTheme" parent="android:Theme.Holo">
<item name="android:actionBarStyle">@style/AppTheme.ActionBar</item>
<item name="android:background">#ffffff</item>
<item name="android:colorBackground">#ffffff</item>
</style>
<style name="AppTheme.ActionBar" parent="android:Widget.ActionBar">
<item name="android:background">@drawable/background</item>
</style>
</resources>
These codes are suitable when you have not any options menu like image shows in question, if you have options menu you must customize your option menu items background.
If you have Option menu below code is suitable:
<resources>
<style name="AppTheme" parent="android:Theme.Holo.Light">
<item name="android:actionBarStyle">@style/AppTheme.ActionBar</item>
<item name="android:popupMenuStyle">@style/AppTheme.PopUpMenu</item>
</style>
<style name="AppTheme.ActionBar" parent="android:Widget.ActionBar">
<item name="android:background">@drawable/background</item>
</style>
<style name="AppTheme.PopUpMenu" parent="android:Widget.Holo.Light.ListPopupWindow">
<item name="android:popupBackground">@drawable/background</item>
</style>
</resources>