The OPE ID you mention is not the same as the Federal Identification Number, which is a Title IV PAYOR ID with a different number format, which is why TurboTax won't accept it.
In the Education Expenses section, you can indicate that you 'don't have the Federal ID' and still enter the address and expenses paid.
You won't be eligible for the American Opportunity Credit (max of $2500) but could still be eligible for the Lifetime Learning Credit (max of $2000) without this number.