Normally if it is online it should function great for 30 days.
You are using a theme from TheXCartStore.
1) Hope you are not using also their Predictive Search, which could create a conflict. Checking your input text box you have the following container:
<div class="search-substring">
<input type="text" name="posted_data[substring]" class="search-box text" value="" id="TXS_PS_search" autocomplete="off"/>
</div>
2) It could be a problem with this template. Personally I will try install by myself, manually this module. In this way I am allowed to place correctly the code inside php/tpl files. Do an uninstall and then install the code manually based on installation files.
I guarantee you that with any of XC themes comes, CloudSearch will function great. It is a template problem.