Hi ...thanks for showing the picture
Any ag. shop will sell the correct tree wound paint/paste and this will seal those cuts and avoid contamination.
Or, in a 'bain-marie' prepare a mix of equal parts of - beeswax + tallow+ resin - which is good for wounds and to seal graft cuts as well.
If the severely cut tree is subject to direct sun radiation, those nude stumps should get a couple of layers of white wash which will reflect sun light, cooling and protecting the plant against all sort of critters.
Hope that , like in the given example by this coming spring several new shoots will show, ready for new branching or if you so decide, to graft half a dozen of selected fig varieties.
Francisco