Hi delinea
To remove the code generating the author, you go to file:
/templates/ja_beauty/html/mod_articles_latest/grid.php
and remove this code:
<span class="mod-articles-category-writtenby mr-1">
<i class="far fa-user"></i><span><?php echo JText::_('TPL_POST_BY'); ?></span><?php echo $item->author; ?>
</span>
To change the readmore text, you can override this language constant: READ_MORE_TITLE
in Backend >> Extensions >> Languages >> Overrides:
I just added a sample on your site, you can edit to the text you wish.
Regards