I never found anything in the La-5 references I used but when I started researching the La-7 instead I found this in a Polish MBI publication:

From the illustration and photos I have, I can tell the individual shutters pivoted on the pin in the right hand corner and rotated to the left. (facing the nose) It also tells me what position the shutters were in when fully open.
So now I can update the La-5FN with working engine shutters. Won't be real quick, as there are 24 individual shutters and each has to be animated separately. But you can look for a new version of the La-5FN in a couple of days.

From the illustration and photos I have, I can tell the individual shutters pivoted on the pin in the right hand corner and rotated to the left. (facing the nose) It also tells me what position the shutters were in when fully open.
So now I can update the La-5FN with working engine shutters. Won't be real quick, as there are 24 individual shutters and each has to be animated separately. But you can look for a new version of the La-5FN in a couple of days.