Hi Peerj,

Do you mean by turn off featured slider on your frontpage as you can see from my screenshot here, http://screencast.com/t/szF74TUZod ? If that so you can turn it off by going to your backend > menu manager > easyblog post frontpage menu item > featured > show featured slider to "Hide", http://screencast.com/t/AY5Ip5wdjE5 .

How do I change the style color by featured listings
Because always white background

You need to modify it via css. You can try to apply the following css hack inside your template.css file to change the background color to royalblue:

div#fd.eb .eb-showcase {

    background-color: royalblue;

}

Hope this can answer your question above.