Hello @Scorbelli,
Looks like this issue has already been resolved in this thread: https://wordpress.org/support/topic/featured-image-is-not-found-in-search-results?replies=5

Kindly post for any further confusion.

Thanks,

Hello @scorbelli,
Glad to hear that your previous has been resolved 🙂

Now, to link the featured image to the post, just replacing some codes will do it.

Replace these lines in content-search.php of child theme:

<div class="entry-summary">
		<?php if ( has_post_thumbnail() ): ?>
          <?php the_post_thumbnail( 'medium', array( 'class' => 'aligncenter' ) ); ?>
        <?php endif ?>

		<?php the_excerpt(); ?>
	</div><!-- .entry-summary -->

with these:

<div class="entry-summary">
		<?php if ( has_post_thumbnail() ): ?>
          <a href="<?php echo get_permalink();?>">
          <?php the_post_thumbnail( 'medium', array( 'class' => 'aligncenter' ) ); ?>
        </a>
        <?php endif ?>

		<?php the_excerpt(); ?>
	</div><!-- .entry-summary -->

And for ‘readmore’,
Just go to Customizer > Themes Options > Blog, and configure the readmore text according to your requirement.

Hope that helps resolving your issue.

Thanks!

Hello @scorbelli,
Its not the difficult one. Actually few customization like above will do it. Just copy a file called content.php from parent theme which is inside ‘template-parts‘ folder and paste it inside the same folder of the child theme where you have pasted ‘content-search.php’.

Now comes the editing part. Open the file (content-search.php from child theme) and find the lines <?php the_post_thumbnail( 'large', array( 'class' => 'aligncenter' ) ); ?>. This line is actually present twice. So, just wrap both of those lines like this:
<a href="<?php echo get_permalink();?>"> <?php the_post_thumbnail( 'large', array( 'class' => 'aligncenter' ) ); ?></a>

This will do the trick.

Try this out. Its easy 🙂

For any confusion, kindly post here.

Thanks,