Use the EmailAdminsOnErrorCommand class instead of BaseCommand so that your Django management commands send error emails to admins

management_email_admins.py

# This file provides a base Command class that handles sending errors via mail_admins
# Make sure to adjust the LOGGING variable in settings
# Credit to Abdulla Diab: https://mpcabd.xyz/make-django-management-commands-send-errors-email-admins/

import sys
import logging

from django.core.management import BaseCommand

logger = logging.getLogger('management.command')

class EmailAdminsOnErrorCommand(BaseCommand):
    def execute(self, *args, **options):
        try:
            return super(EmailAdminsOnErrorCommand, self).execute(*args, **options)
        except Exception as e:
            command_name = self.__class__.__module__.split('.')[-1]
            if self._called_from_command_line:
                logger.error('Management Command Error: %s', ' '.join(sys.argv), exc_info=sys.exc_info())
            else:
                logger.error('Management Command Error (Run as command): %s', command_name, exc_info=sys.exc_info())
            #Raise the exception again so it gets logged in standard error also.
            raise e

settings.py

# adjust your LOGGING setting
# The key is adding management.command under loggers,
# and setting it to use the mail_admins handler

LOGGING = {
    #OTHER OPTIONS
    'filters': {
        #OTHER FILTERS
        'require_debug_false': {
            '()': 'django.utils.log.RequireDebugFalse'
        }
    },
    'handlers': {
        #OTHER HANDLERS
        'mail_admins': {
            'level': 'ERROR',
            'filters': ['require_debug_false'],
            'class': 'django.utils.log.AdminEmailHandler',
            'include_html': True
        }
    },
    'loggers': {
        #OTHER LOGGERS
        'management.command': {
            'handlers': ['mail_admins'],
            'level': 'ERROR',
            'propagate': True,
        },
    }
}