The template is a string value which you can use the following placeholders in: $iconImg, $text, $onClick, $count.
You would add the parameter like so:
buttonWithCountTemplate: '<div class="sBtnWrap"><a href="#" onclick="$onClick"><div class="sBtn">$text<img src="$iconImg" /></div><div class="sCountBox">$count</div></a></div>'
Unfortunately it seems you can not control the styling of all the providers like facebook like or any of the goole providers. If you change facebook-like to just facebook as the provider it will be styleable.