my-bookings shows past events

At the moment you need to modify template under events-manager/templates/templates/my-bookings.php

https://wp-events-plugin.com/documentation/using-template-files/

eg. wp-content/themes/Your Theme/plugins/events-manager/templates/my-bookings.php

$todays_date = date(“Y-m-d”);
$today = strtotime($todays_date);
if( ($rowno = $offset || $offset === 0) && ($EM_Event->start >= $today) ) {

at round line 107