Hi,
I agree with Sougata and Matthew about the idea of trying to achieve this. I would not recommend this approach. If your security team find updating authorisations tedious then I suggest that they you get new ones who will perform the job they are being paid to do & will work with you to understand what the BDC sessions are doing and supporting this through standard mechanisms. This is really not a big piece of work and much smaller than finding errors in a piecemeal fashion.
You could automate the process of picking up an authorisation error message (how you would do it would depend on which SAP version you are on), updating appropriate role/s in production but that would end up with users getting all sorts of spurious (and likely high privileged) access and you would have a control gap so wide that you could drive a bus through it.