There is no setting for this in Templatetaster, as far as I can see. But I did it with a little trick.
The read more setting is located in the "template.css" file in the "css" folder (in template files after export). I found the exact location of the code by using Firefox developer tools, right-clicking on the readmore button and "inspect element".
It's easy afterwards. At the end of the button adjustment block, put a new line before the brackets:
"...
float: right; } "
Upload that file in your template on server and replace old one.
I used Notepad ++ for editing.
Here’s what it looks like in my example, after the addition