Drupal - Drush module version

For Drupal 7 and earlier, try using drush pm-info module. It may give you what you want.

For Drupal 8 and later, the pm commands are mostly deprecated. To get module information, you would use composer show drupal/module.

You can use the shortcut:

drush pmi [module]

This will give you a list of all the currently enabled, contrib(i.e., non-core), modules on your site along with the exact version number:

drush pm-list --type=module --no-core --status=enabled