Load parent theme files before child theme functions.php

The functions.php file executes at plugins_loaded, with the Child Theme functions.php executing before the Parent Theme functions.php. That means that, in order to load functional sub-files in the Child Theme after the Parent Theme functions.php executes, you simply need to hook your include() calls after plugins_loaded.

A usually safe action for such purposes is after_setup_theme:

function wpse130681_load_dependent_functional_files() {
    require_once get_template_directory().'/classes/ContentSidebarView.php';
    $ContentSidebarView = new ContentSidebarView();
    $ContentSidebarView->init();
}
add_action( 'after_setup_theme', 'wpse130681_load_dependent_functional_files' );

That said: if you’re running into issues such as this one, you’re probably doing something wrong in the first place. Just guessing from your code sample:

  1. Hook your class instantiation into an appropriate hook, such as init
  2. Make your framework classes extensible via filters, and extend in your Child Theme via those filters.