What will happened to the electric/electronic equipment if we supply with different Cos Phi?
The AC from the solar panel inverter and the AC of the grid do have to be in phase. Both the inverter and the grid do their best to be a voltage source. The power factor caused by a reactive load puts requirements on both the inverter and the grid. Hopefully, the inverter can handle any reactive load you may be presented to it.  The grid can handle it, but it causes transmission losses. 

The power factor is a property of the load you is being driven, not the source, so your question is a bit confused.