short description in shop page after title

An Link to your page might be useful to see exactly what is happening.

To display something After the Title and before the shop loop I would suggest Hooking in to the ‘woocommerce_before_shop_loop’ Hook

by doing something like:

add_action( 'woocommerce_before_shop_loop', 'woocommerce_after_shop_loop_item_title_short_description', 10 );

function woocommerce_after_shop_loop_item_title_short_description() {
echo '';
echo 'something here';
echo '';
}

Screenshot of my example in action:

Checkout this Visual Hook Guide for some more information on where the different hooks are
https://businessbloomer.com/woocommerce-visual-hook-guide-archiveshopcat-page/