Use CSS. For example for a badge inside an active tab something like:
.nav-tabs > li.active > a > span.mx-tabcontainer-badge {
color: red;
}
Read the documentation on how to customize styling.
In your browser open the inspector and look at your tabs. The active tab will have an added class ‘active’ to the active tab:
Rewrite the code to:
.mx-name-customTabContainer{
li .active{
background: #ffb500;
color: #fff;
}
}