I don`t know if that still works but back in the days you would have to use the terminal to run another instance of a program.
"Trying to use the Finder to open multiple instances of an application on Mac OS X will simply cause the first instance to come to the foreground.
To get around this, use the open command from the command line with the -n option.
The -n option opens a new instance of the application even if one is already running."
Or this:
"First, open the application you want to run in multiple instances.
Then, hold down the Shift key on your keyboard and click with your cursor - or tap with your finger - on its taskbar icon.
One click or tap opens a new instance, two clicks or taps open two, and so on."
CHeers, Klaus
ps: a search for "two instances of program mac os" or similar got a lot of results. If the two above do not work there is more