Result indicators are provided by the specific objectives of the programme.
Should you want to have indicators measured differently between the two participating Member States, you'll need to create two different indicators.
If you use the same name for the indicators and just add the code of the Member State (i.e. RI1IT and RI1FR) in order to distinguish between them and use the same units it will be easier for you later on to aggregate the data.
So it's really up to you if you want a programme level or Member State level monitoring of the results.