Style "Radio" button in a menu with a disabled toolbar

I tried this answer for styling on a radio button in the toolbar menu, but it doesn't work for me. I want to apply a checkmark style to a radio button in a MenuItem, so please help me with the correct guide.

Style.xml

<!-- Base application theme. -->
<style name="AppTheme.Base" parent="Theme.AppCompat.Light.DarkActionBar">
        <!-- Customize your theme here. -->
        <item name="colorPrimary">@color/colorPrimary</item>
        <item name="colorPrimaryDark">@color/colorPrimary</item>
        <item name="colorAccent">@color/colorPrimary</item>
        <item name="android:textColorPrimary">@android:color/black</item>
        <item name="windowActionModeOverlay">true</item>
        <item name="windowActionBarOverlay">true</item>
        <item name="android:windowActionBarOverlay">true</item>
        <item name="android:windowBackground">@color/activity_bg</item>
        <item name="android:windowDisablePreview">true</item>
        <item name="alertDialogTheme">@style/AlertDialogCustom</item>
        <item name="drawerArrowStyle">@style/DrawerArrowStyle</item>
        <item name="android:actionBarWidgetTheme">@style/MyActionBarWidgetTheme</item>
        <item name="actionBarWidgetTheme">@style/MyActionBarWidgetTheme</item>
</style>

<style name="AppTheme" parent="AppTheme.Base">
        <item name="windowNoTitle">true</item>
        <item name="windowActionBar">false</item>
</style>

<style name="MyActionBarWidgetTheme" parent="android:Theme.Holo.Light">
        <!--<item name="android:listChoiceIndicatorMultiple">@drawable/radiobutton_selector_checkmark</item>-->
        <item name="android:radioButtonStyle">@style/Widget.RadioButton.CheckMark</item>
</style>

<style name="Widget.RadioButton.CheckMark" parent="Widget.AppCompat.CompoundButton.RadioButton">
        <item name="android:textColor">@android:color/holo_red_light</item>
        <item name="android:button">@drawable/radiobutton_selector</item>
        <item name="android:background">@drawable/radiobutton_selector</item>
</style>

      

        
        
        
      

    

And here is the conclusion

menu.xml

<item
android:id="@+id/action_filter"
android:icon="@drawable/ic_action_filter_white_24dp"
android:orderInCategory="2"
android:title="@string/action_filter"
app:showAsAction="always">

<menu>
    <group android:checkableBehavior="single">

        <item
            android:id="@+id/filter_favorite"
            android:title="Favorites"
            android:checked="true"
            app:showAsAction="never"/>

        <item
            android:id="@+id/filter_myProject"
            android:title="My Projects"
            app:showAsAction="never"/>

        <item
            android:id="@+id/filter_completed"
            android:title="Completed"
            app:showAsAction="never"/>

        <item
            android:id="@+id/filter_all"
            android:title="All Projects"
            app:showAsAction="never"/>

    </group>
</menu>