Application for using the 2 RX channels simultaneously

I don’t think this is LimeSDR hardware issue, it just means that detecting and compensating initial phase offset between two RX channels is up to your application, as Collus wrote here. You have all means to do that, (i.e. you can transmit any signal you want after program run, which can be “heared” by both RX channels and thus allow detecting this offset). Of course, I suppose that it could be done automatically in SDR driver and it would be very nice feature, but if it’s not implemented it does not mean that device is not MIMO-capable anymore, it just means that such feature needs to be implemented in user’s software.