Allow Vagrant usage without providing sudo password

Arch Linux, Fedora

sudo tee /etc/sudoers.d/vagrant > /dev/null << EOL
#
# Arch Linux, Fedora sudoers entries
#

# Allow passwordless startup of Vagrant with vagrant-hostsupdater.
Cmnd_Alias VAGRANT_HOSTS_ADD = /bin/sh -c echo "*" >> /etc/hosts
Cmnd_Alias VAGRANT_HOSTS_REMOVE = /usr/bin/sed -i -e /*/ d /etc/hosts
%sudo ALL=(root) NOPASSWD: VAGRANT_HOSTS_ADD, VAGRANT_HOSTS_REMOVE

# Allow passwordless startup of Vagrant with NFS synced folder option.
Cmnd_Alias VAGRANT_EXPOSTS_UPDATE = /usr/bin/chown 0\:0 /tmp/*, /usr/bin/mv -f /tmp/* /etc/exports
Cmnd_Alias VAGRANT_EXPORTS_ADD = /usr/bin/tee -a /etc/exports
Cmnd_Alias VAGRANT_NFSD_CHECK = /usr/bin/systemctl status nfs-server.service, /usr/sbin/systemctl status nfs-server.service
Cmnd_Alias VAGRANT_NFSD_START = /usr/bin/systemctl start nfs-server.service, /usr/sbin/systemctl start nfs-server.service
Cmnd_Alias VAGRANT_NFSD_APPLY = /usr/bin/exportfs -ar, /usr/sbin/exportfs -ar
Cmnd_Alias VAGRANT_EXPORTS_REMOVE = /bin/sed -r -e * d -ibak /tmp/exports, /usr/bin/cp /tmp/exports /etc/exports
%sudo ALL=(root) NOPASSWD: VAGRANT_EXPOSTS_UPDATE, VAGRANT_EXPORTS_ADD, VAGRANT_NFSD_CHECK, VAGRANT_NFSD_START, VAGRANT_NFSD_APPLY, VAGRANT_EXPORTS_REMOVE
EOL

OS X

sudo tee /etc/sudoers.d/vagrant > /dev/null << EOL
#
# OS X sudoers entries
#

# Allow passwordless startup of Vagrant with vagrant-hostsupdater.
Cmnd_Alias VAGRANT_HOSTS_ADD = /bin/sh -c echo "*" >> /etc/hosts
Cmnd_Alias VAGRANT_HOSTS_REMOVE = /usr/bin/sed -i -e /*/ d /etc/hosts
%admin ALL=(root) NOPASSWD: VAGRANT_HOSTS_ADD, VAGRANT_HOSTS_REMOVE

# Allow passwordless startup of Vagrant with NFS synced folder option.
Cmnd_Alias VAGRANT_EXPORTS_ADD = /usr/bin/tee -a /etc/exports
Cmnd_Alias VAGRANT_NFSD = /sbin/nfsd restart
Cmnd_Alias VAGRANT_EXPORTS_REMOVE = /usr/bin/sed -E -e /*/ d -ibak /etc/exports
%admin ALL=(root) NOPASSWD: VAGRANT_EXPORTS_ADD, VAGRANT_NFSD, VAGRANT_EXPORTS_REMOVE
EOL

Ubuntu Linux

sudo tee /etc/sudoers.d/vagrant > /dev/null << EOL
#
# Ubuntu Linux sudoers entries
#

# Allow passwordless startup of Vagrant with vagrant-hostsupdater.
Cmnd_Alias VAGRANT_HOSTS_ADD = /bin/sh -c echo "*" >> /etc/hosts
Cmnd_Alias VAGRANT_HOSTS_REMOVE = /usr/bin/sed -i -e /*/ d /etc/hosts
%sudo ALL=(root) NOPASSWD: VAGRANT_HOSTS_ADD, VAGRANT_HOSTS_REMOVE

# Allow passwordless startup of Vagrant with NFS synced folder option.
Cmnd_Alias VAGRANT_EXPORTS_ADD = /usr/bin/tee -a /etc/exports
Cmnd_Alias VAGRANT_NFSD_CHECK = /etc/init.d/nfs-kernel-server status
Cmnd_Alias VAGRANT_NFSD_START = /etc/init.d/nfs-kernel-server start
Cmnd_Alias VAGRANT_NFSD_APPLY = /usr/sbin/exportfs -ar
Cmnd_Alias VAGRANT_EXPORTS_REMOVE = /bin/sed -r -e * d -ibak /etc/exports
%sudo ALL=(root) NOPASSWD: VAGRANT_EXPORTS_ADD, VAGRANT_NFSD_CHECK, VAGRANT_NFSD_START, VAGRANT_NFSD_APPLY, VAGRANT_EXPORTS_REMOVE
EOL

The Ubuntu Linux Version does not work with Debian Buster and Vagrant 2.2.9.

The Arch Linux Version doesn't work with Manjaro

Well, I've stopped using Vagrant years ago, so these scripts could be outdated. What you can do is read the source code of Vagrant and compare the commands executed via sudo and amend these command aliases accordingly.