You can include the short description in PDF Catalog. To enable this option check the Include short description checkbox in Catalog Settings > PDF Catalog:
Once checked, the short description will appear in the grid and list after the product name.
Short description length
By default, the short description in the PDF will be shortened to 243 characters. You can use the following PHP code to customize it:
add_filter('c_list_desc_limit', 'my_c_list_desc_limit');
function my_c_list_desc_limit() {
return '500'; // Adjust this number to your needs
}