This can be done by adjusting the some templates files for Event Espresso 3.
Here the steps to do so:
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Login to your WordPress site with your preferred SFTP or FTP client. FileZilla and Cyberduck are free options. Try Transmit for Mac
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Browse to this location: /wp-content/plugins/event-espresso/templates
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Locate the following file and download a copy of them to your local computer:
shopping_cart.php
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Using your preferred FTP or SFTP client, browse to this location: /wp-content/uploads/espresso/templates
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Upload the file that you recently downloaded to the location above
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Open the shopping_cart.php file for editing and go to about line 79. You’ll see some coding like this:
<?php echo event_date_display( $r->start_date, get_option( 'date_format' ) ) ?>
<?php /*_e( ' to ', 'event_espresso' ); ?> <?php echo event_date_display( $r->end_date, get_option( 'date_format' ) )*/ ?>
- Change it to the following and save changes (i.e. change display to list):
<?php echo event_date_display( $r->start_date, get_option( 'date_format' ) ) ?>
<?php _e( ' to ', 'event_espresso' ); ?> <?php echo event_date_display( $r->end_date, get_option( 'date_format' ) ) ?>
Be sure to the save changes to the files that were edited above. You can then begin a registration on your site via the Multiple Events Registration add-on for an event and you'll see the start date through end date in the shopping cart.
References:
http://eventespresso.com/topic/event-date-range-not-showing-on-multi-ticket-cart-page/