How to let Muon update manager run without entering a password?
try with configuring your crontab file, to make updates automatically, as root user, example:
in terminal write (as root loged user):
nano /etc/crontab
Then, for example, if you want updates every single day to perform at for example 14:30 o'clock at end of that file write:
30 14 * * * root apt-get update
and simply save changes.
That can help, and to don't worry about everyday updates, as it do that automatically at given time and given user and given command.