GRUB is the Linux boot manager. When a new system is installed, GRUB needs to be installed to the harddisk and it has to be updated with the system type, kernel and partition in order to boot it correctly. If you add another OS to another partition, GRUB needs updating again so that it can list and boot that new OS.
This might work if you hava an installed system that can't boot. Put Super Grub2 on a USB stick and boot it and it will scan the box for any installed system - just select one to boot it.
With the system up you can install GRUB and update it easily. As root,
where "sda" is the root of the hard disk you want to install GRUB on
My no.2 was a gui program called Grub customizer... but as I never use it any more, and it was dodgy with Debian (better suited for Ubuntu), I will leave it out as unnecessary bloatware...
Run this Live CD and the Recovery app automatically searches for OS's present. Open the Advanced options to choose a location to install GRUB (set it to the root of your main harddisk, e.g. /dev/sda) and any other particulars.
This is a friendly GUI app for those unsure of a terminal.
You can install Boot repair to your system as well, but to detect and repair GRUB it must be run during a live session, and the version installed is arch specific, so 32bit will not repair GRUB on a 64bit system - as essentially it's chrooting.
You can chroot (change root) using a Live CD into the system that needs Grub installed...
and unmount the system with
see my chroot page for more detail.