I'm afraid the issue is not related to ajax search pro in this case. The plugin only passes on the post objects to the results handler, the displaying is done via the theme, I'm guessing via the the_excerpt() call, at least that it what most themes usually do.
I believe it is possible however to execute shortcodes in excerpts: https://goo.gl/3Aus3q
You might need to ask the theme developer on how exactly change the contents there 🙂Best,
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