Only show meta on one post type on search results page

You didn’t provide any of the output code for the search results output, so what I’ve provided below is a guess based on how things ‘should’ work – chances are things will look different in your theme so you’ll need to sort out how to apply the same logic.

In your search results template (content-search.php maybe?) you’ll have your search results pulled in and they’ll all be in a variable like so:

$search_query

That’ll be the results of the search query (may be named something different)…

So in your while() loop you’ll want to check get the ‘type’ for each result:

$type = $search_query->post->post_type;

Then before you output the HTML and data for the post meta, you’ll check to see if the type matches post, like so:

if( $type == 'post' ) :
  //your post meta output code
endif;

Putting the whole thing together… and remember, lots of guesswork in here:

<?php
    while( $search_query->have_posts() ) {
        $search_query->the_post();
        $type = $search_query->post->post_type;
        the_title();
        if( $type == 'post' ) :
            echo '<div class="jeg_post_meta">';
                echo 'By ' . the_author_posts_link() . 'on ' . the_time( 'F jS, Y' ) . 'in ' . the_category( ', ' ) . '.';
            echo '</div>';
        endif;
        echo '<div class="jeg_post_content">';
            the_excerpt();
        echo '</div>';
    }
?>

Just a reminder though that you shouldn’t be editing a third-party theme because your edits will get lost if/when it updates and you’ll have to start over. So you want to do this in a child theme where you’re overriding existing templates and content parts.