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Here's how I recommend using the class.

1. Either activate this plugin, or include the class in your own plugin file.
2. When you start to render the page with the post list, define some columns and then instantiate the class:

$cols = array(
    array(
        'name'        => 'restaurant_name',
        'title'       => 'Restaurant Name',
        'css_class'   => 'restaurant-name',
        'is_default'  => true
    ),
    array(
        'name'        => 'cuisine_type',
        'title'       => 'Cuisine Type',
        'css_class'   => 'cuisine-type',
        'default_order' => 'desc'
    )
);
$sortable = new BBG_CPT_Sort( $cols );

1. As you render your table, you can use all sorts of fun methods to create column headers. Example:

<table class="widefat">
    <thead>
    <?php if ( $sortable->have_columns() ) : ?>
        <?php while ( $sortable->have_columns() ) : $sortable->the_column() ?>
            <th class="<?php $sortable->the_column_css_class() ?>">
                <a href="<?php $sortable->the_column_next_link( 'url' ) ?>"><?php $sortable->the_column_title() ?></a>
            </th>
        <?php endwhile ?>
    <?php endif ?>
    </thead>
    
    <tbody>
    ...
    </tbody>

</table>