Want to show Name instead of File

Carlos,
I currently do not have a filter for that… It goes off of the name of the file.

What you could do is edit the template in the plugin file

/woocommerce-my-downloads-shortcode/tpl/my-downloads.php

You will see the following line:

<?php echo apply_filters( 'woocommerce_available_download_link', '<a href="' . esc_url( $download['download_url'] ) . '" class="wc-my-downloads-download-link">' . $download['download_name'] . '</a>', $download ); ?>

You could change $download['download_name'] to be $download['product_name']

I will work on releasing a new version which has the ability to have a flag in the shortcode to show product name verse the download name.

Wow, was easier than I thought, many thanks! If I were you I would integrate it in the plugin, there is no plugin for doing that ??

Excellent! I have been meaning to overhaul this plugin anyway, so hopefully in the next couple of months I will get a new revised version out with this feature built in for you.