since we really dont know what the tiny cracks are,,
its hard to advise,,,
but Pearl is right,,
the amount of wood you have for the 90# bow is not enough,,
rawhide might hold it as suggested,,
sinew would have worked if the back was not damaged,,
but its unknown if it would hold not knowing the extent of the damage,,
if you just want to practice with sinew backing,, then go for it,, it wont hurt the bow,,
it will increase the draw weight, ,and you will have to re tiller for that,, but probably wont improve performance
you should test the bow for its performance as it is,, and then after sinew,,
and I doubt putting sinew is gonna gain anything for you,, as a fix,, possibley prolonging the life of the bow,,
sinew bows perfrom better if the bow has not been shot in before sinew backing,, like maybe to half draw and then sinew back,,
I have sinew backed bows ,, with compromised back,, some success and some not,,just to learn what it would do,, your case is iffy,,
sinew bows can perfrom well in longer format,,,, if the sinew is applied with that in mind, and tillered to fit the profile,,