The following snippet can be used to display the WooCommerce short product description in the product entry (below the title).
add_action( 'woocommerce_after_shop_loop_item_title', function() {
global $post;
$short_description = apply_filters( 'woocommerce_short_description', $post->post_excerpt );
if ( $short_description ) {
echo '<div class="my-product-entry-description">' . wp_kses_post( $short_description ) . '</div>';
}
}, 50 );