marekf

I assume that you have them wired 2S2P, i.e. two 12 V modules in series in each string, with the two strings in parallel. So nominally 24 V, to suit your inverter.
I assume that your inverter works.
I don't know Solar Assistant. It may be that it always provides the battery settings as "per 12 V". I note that you have specified 24 V as the nominal system voltage, so that's a little weird. I suspect that the Solar Assistant SRNE driver has some bugs. Perhaps the developers have only ever used a 12 V model.
Do you have solar? If so, I would reduce the back to grid voltage, so that you can be running on solar for more of the day. You have stated in a PM that your goal is to reduce grid usage. Experiment, but I would go as low as about 12.8 V, if you can.
I would also suggest increasing the to grid voltage from 11.7 to perhaps as high as 12.0 V, but it depends on your typical loads and the internal resistance of your battery at medium state of charge. That's for longevity of the battery; it will cost you a little run time in battery mode.
Check the output source priority. The setting with the same name on Voltronics models means go to grid at sundown. You probably don't want that. The one you probably want is called SBU for Voltronic models; you will have to read the manuals (inverter and/or Solar Assistant) or experiment.
Check your battery documentation (possibly printed on each battery module), but 120 min at 14.4 V sounds too long and too high to me, for sealed batteries. But if they are genuine AGM, they might be able to take this. Remember that you can't replace water in these, so any water that vents is gone forever. Sealed batteries have a limited capacity to absorb gas back into water. 14.4 V is typically the gassing voltage at 25°C.
Also check the recommended maximum charge current for the battery modules. You have two strings, so if the module maximum is say 25 A, double that to 50 A for two strings.
 

Hello falownik 12V connected in parallel. Battery 2x100Ah