By default, search refiners in SharePoint 2013 don’t show a result count. However, it’s easy to enable them with one change to the filter display template. Below is how a refiner appears by default
The easiest way to work with display templates is to map a drive to \\%SHAREPOINTSERVER%@80\_catalogs\masterpage\. Expand the folder tree and navigate to the Filters folder. Backup a copy of Filter_Default.html before making changes.
Open Filter_Default.html in a text editor, I like to use Notepad++. Navigate to the section as shown below and change the “ShowCounts:” value from false to true. Save your changes.
Refresh the search page and refiner counts are now visible.