Interesting question:
The code is something like this:
<?php the_excerpt_reloaded(80, '<a><img><strong><em>', 'content', TRUE, 'Click to read more »', TRUE, 0, TRUE); ?>
with the "Click to read..." text being what I've chosen as my "More" text. If you simply insert a line break at the start of the "more" parameter then it'll appear on a new line:
<?php the_excerpt_reloaded(80, '<a><img><strong><em>', 'content', TRUE, '<br />Click to read more »', TRUE, 0, TRUE); ?>
At least it did for me when I just tested it.
In theory you could instead put a <p> around the "more" parameter and give it whatever class in your CSS aligns text to the right. So in my case it would be:
<?php the_excerpt_reloaded(80, '<a><img><strong><em>', 'content', TRUE, '<p class="textright">Click to read more »</p>', TRUE, 0, TRUE); ?>
But the problem with this is it leaves an ellipsis (...) on the preceding line. You could probably edit the plugin to get rid of that, as long as you back up and know what you're looking for.