Hi,
I assume you mean the links on the result page: https://i.imgur.com/7BHB5WK.png
Well, the plugin can not affect what the final URLs will be in that case. I mean it tries to force the same URL via code, but the theme output has the final say. In most cases it works fine, but if the URLs are printed via a custom method, then it may not work unfortunately.
If you have access to the theme code and can change the part where the URLs are printed, you can use the plugin theme API.
Where the link address is printed, this code can try to request the original URL from ajax search pro:
the_asp_result_field('link');
For example:
<a href='<?php echo the_asp_result_field('link'); ?>'>Result URL</a>