This is a forum for Coldfire chips, which are "MCF5xxxx". That chip is a DSP. You should post in the DSP forum.
https://community.nxp.com/t5/Digital-Signal-Controllers/bd-p/dsc
Your problem has nothing to do with the chip though. You need the User or Service Manuals for your elevator. That should detail a command which says to save the changed into non-volatile memory, assuming the board has that somewhere. There might be a small EEPROM or it might use the internal 4k of Data Flash inside the CPU.
Something like this (Google found this for the DCD-231)
http://www.sigmaelevator.com/updata/pds/ELCOM_PA_08_3.pdf
In the "Examples" section it finishes off with:
(h) Key in ‘BBB’ and ‘39E’ to go [S39] menu to save new data.
(i) Key in ‘AAE’ and ‘1E’ in sequence. Then, the new data is saved.
Your one should have a similar command, maybe the same.
Tom