i want to show popular article image but it not show and anyone help me ?

You should check plugin functions how article images are retrieved. There is also helper file with most common functions.

get categories color not work, can you help me

<hr style="background-image: linear-gradient(to right, #F1F1F1, <?php if($c['s_color'] <> '') { ?><?php echo $c['s_color']; ?><?php } ?>, #F1F1F1);">

Put whole block of code.
hr element is to draw line.

  <?php foreach($categories as $c) { ?>
     
<hr style="background-image: linear-gradient(to right, #F1F1F1, <?php if($c['s_color'] <> '') { ?><?php echo $c['s_color']; ?><?php } ?>, #F1F1F1);">

 <?php } ?>

the border show all like picture