Hi Spencer,
Thank you for writing in, are you trying to assign a custom sidebar to a specific page? You can do that on the sidebar panel.
If you prefer to continue using your custom template use the dynamic_sidebar( ); function to output your custom sidebar.
Function Reference/dynamic sidebar
wrap it in <aside class="x-sidebar right"> so it does stay on the right side of the content.
e.g.
<aside class="x-sidebar right">
<?php if ( is_active_sidebar( 'ups-sidebar-my-custom-sidebar' ) ) : ?>
<?php dynamic_sidebar( 'ups-sidebar-my-custom-sidebar' ); ?>
<?php endif; ?>
</aside>
Please do note that this is customization and we cannot provide further support for this.
Hope it helps,
Cheers!