Ok so I just filled out a money order to the NYS tax department I owe but I forgot to add my ssn number on the money order what will happen? Do I get in trouble

[DoninGA]

No, you will not get into trouble.  The state will cash the check for the taxes owed without your SSN on the check.

[Critter-3]

Hopefully you sent the check with a payment voucher so they know where the MO came from and whose account to credit.  Keep the MO paperwork in case it needs to be traced later.