No, it can only control one door at a time with override.

If you choose to override another door on the R7's normal turn, the door you affected on the pawn turn will revert to it's normal state.

Basically using the R7 pawned or not pawned is stillt he same character. So by pawning him with sid & then override a door closed would work. But then when you activate that say droid to use the same SA, then the door you override on the pawn turn would cease to exist & go back to its normal state.

But there are also at the same time so many things you can do with this. By doing this combo you may override a door closed locking your opponent out of the room your in from the pawn. And then maybe forcing them to override your override wasting a door control piece for them in which now you can activate your normal turn for the R7 to override it back closed. I mean theres good strategies that you can make out of this but you would have to be an expierence player. I mean this is just an example so even though your question didnt please you how its really done, go through some scenario's where R7 & Sidious can come in handy with eachother & you'll see that its not so bad that you cant over 2 doors one round with one R7. just addin my 2 cents.

On the same subject, when does the override take place? After the r7 is pawned but before the sidious's turn ends? Or at the end of sidious's turn?