How have you connected the other control lines?.
If you want to access both devices using MOVX instructions you must connect RD and WR control lines properly. In addition, you must provide a way for the MCU to access each device separately. If the whole address space for both devices does not exceed 64k (say 32k + 32k) you can use the MSB in the address bus as a chip select control line. But with a NVRAM of 128 KB, I think you need a banked approach, even if you do not use the RTC chip.

By the way, what MCU are you using?.

Regards,

Alfredo del Rio.