As the title says… :-)
In includes/loop-index.php replace
echo '<span class="blog-author minor-meta">'.__('by','avia_framework')." ";
the_author_posts_link();
echo '</span>';
with
echo '<span class="blog-author minor-meta">'.__('by','avia_framework')." ";
the_author_posts_link();
echo '</span>';
echo '<span class="blog-edit minor-meta">';
edit_post_link();
echo '</span>';
Thanks!