According to BB... the batteries must be within .3 volts of each other before you connect them together in parallel to make them behave as a battery bank. Since you are in a series to achieve 48v, perhaps you have a similar issue where the BMS is not happy with what you are asking it to do. I would draw down one battery until both batteries are matched in Voltage and are matched while at rest for a while with no load or input... Then connect in a series to ask them to behave as a single 48V battery. You would probably need to have all four matched when you parallel the second set of batteries to have 2 48v batteries in parallel via the four units.
I tried for days to try to trick my 4 BB hsky into thinking they are part of a battery bank with no success. Once I slowed down and fully matched all four battery voltages, completely shut down my PV array, turned off my inverter did I achieve my desired results. First I connected all batteries in parallel, then I turned on the inverter, added the PV input and turned on the breaker panel to distribute the load... After all that all my batteries BMS track up and down within .3 v and I haven't touched it for over a month and a half.
I have the same manufacturer equipment mpp 6048v and BigBatteries.... But your 24v battery bms might require a different voltage delta than .3. I worked with BB via the technical chat and they were very helpful. Once I finally followed their instructions verbatim it all worked.