If you connect the rears left to right and right to left does the fault change sides? (You may need to extend cables) if it is the hub and or the sensor then it should. If it doesn't then the fault is upstream.
Totally not recommended as its an absolute bodge but if you splice the cable from the working side into two and fed both rear abs feeds back upto the module would that extinguish the abs light for the MOT?
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Dave...
Lost a few stones  and a Gall Bladder and part of a bile duct and all of my dignity in the suppository incident
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