Sweet Homes

This plugin displays custom favicon with badge for number of woocommerce cart products
Configuration parameters:
<ol>
<li>Favicon Image (upload or url).</li>
<li>bgColor: default: #d00, Options: Badge background color.</li>
<li>textColor: default: #fff, Options: Badge text color.</li>
<li>fontFamily: default: sans-serif, Options: Text font family (Arial, Verdana, Times New Roman, serif, sans-serif,…).</li>
<li>fontStyle: default: bold, Options: Font style (normal, italic, oblique, bold, bolder, lighter, 100, 200, 300, 400, 500, 600, 700, 800, 900).</li>
<li>type: default: circle, Options: Badge shape (circle, rectangle).</li>
<li>position: default: down, Options: Badge position (up, down).</li>
<li>animation: default: slide, Options: Badge animation type (slide, fade, pop, popFade, none).</li>
</ol>

Woocommerce favicon cart badge

This plugin adds a custom favicon a badge showing the number of products that are in the shopping cart

dilana

This pugin animates your favicon with animated badges. It shows the number of unread posts since your last visit on your site’s favicon.
Based on favico.js script ( see http://lab.ejci.net/favico.js/ ).
Whats new:
<ol>
<li>4 types of animations</li>
<li>Color settings</li>
<li>Shape settings</li>
<li>Select a time period for the new posts</li>
<li>Select a time period for the favicon update</li>
</ol>
<h3>Arbitrary section</h3>

Favicon Notifications

Animate your favicon with animated notification badge.

Woocommerce favicon cart badge vs Favicon Notifications