Firstly, you should check what are the export options available within the software or simply use File > Save as. This should give you a general idea about the files that you can export from the software, and then check other applications from the same area of work if they support the database exported from Moneysoft Office Manager.
Or you could go to the official website to obtain information about the features of the latest version of the software, because there could be a possibility to use that with your old files.