Hello Sergey!
Yes, it seems that python FRAM example is currently broken, as Navio+ uses a different device than older Navio versions. The example relies on third party libraries and it takes some time to fix it. Sorry about that. C++ example should work fine, if that helps.
However, in your case I would not recommend using FRAM chip at all. Instead of storing sensor data on FRAM, you really should take advantage of Linux and use IPC mechanisms to transfer new measurements. You can also write the logs to a text file on the RPi SD card.