the floor will be floorboards on top of cemented flooring
Why floorboards? What type? Will there be any air gaps under that?
unfortunately door position changes at this stage are not really an option.
Then you have a problem . . .
I've been doing some research on bass traps and can see the current trouble there with the doors..
Yep. Exactly.
is there an alternative solution to moving the doors position though?
It's not just the bass traps at the rear of the room that you need to be worried about: it's also the location of the speakers and assocaited treatment at the front of the room...
the monitors that will be in use will be Adams A77Xs,

Nice! Good choice.
the desk will be 80mm back from the wall facing the booth
Just 8cm? Why so close? The room seems to be 311 cm long, so the mix position should be at roughly 110 cm form the front wall.... Are you planning to use a very wide desk?
there will be an angled glass window between both rooms also.
Why? It's a myth that you need to angle them for acoustic reasons. Here's why:
angled-windows-dont-work.gif
At the rear (far left in drawing) I was thinking to put up a 2 meter wide acoustic wall just off in front of the glass sliding door in hope of making the rear reflections less obstructive,
Low I'm confused! I thought you said the control room is on the right? So why do you need a wall on the far end of the vocal booth, to stop reflections in the control room?
Also, what do you mean by "acoustic wall"? That could mean many different things....
I do use sonarworks calibration software
That only works if the room is already correctly treated. This is something that the manufactures of "room correction" systems don't bother telling you: You can ONLY use that in a room where the acoustic treatment has been done as completely as possible, such that the room is as close as possible to being a minimum phase system, and even then it can only be used for the parts of the spectrum that exhibit flat excess phase response, and even then great care has to be taken to ensure that the corrections applied to not increase the ringing of other parts of the spectrum. It's nowhere near as easy as setting up a mic and pressing a button...
So what I'd suggest you do, is firstly to evaluate moving the doors (it's not as complicated as it sounds), then determine how much isolation you need (in decibels), and based on that you can decide what isolation system to use. After you have built that, then you need to set up the control room geometry correctly, install the normal basic acoustic treatment that any small room needs (large bass traps in as many corners as possible, plus absorption on the first reflection points, plus covering the entire rear wall with deep absorption), then do an acoustic test with the REW software package, and based on that you can determine what additional treatment is needed. Repeat that last step several times (test, treat, test, treat) until it is no longer possible to improve the room response with additional treatment, and only then think about using room correction software.
For the vocal booth, I would suggest John's "standard" formula for putting a slot wall on at least one side of the room, perhaps with some angled sections, plus additional treatment on the other walls and the ceiling, as needed.
- Stuart -