Please, note that this info may be outdated:
Design tools can compute, from post P&R simulations, the fault coverage of your design (% of faults that can be detected by the test vectors, not to be confused with the code coverage). You must design the vectors (and a way to apply them in a real chip, LSSD comes here) to achieve ~100 % fault coverage. There are also tools helping on these (look for ATPG).
Foundries may reject design + vectors combos showing too low a fault coverage, as they may use your vectors to test the chips before cutting/packaging/shipment.
If your design does have some kind of redundancy (like TMR above), you will be far from 100 % fault coverage, but talking with the foundry explaining it may help. Or you may need a mechanism to disable redundancy during tests.
Your best source of info will be your CAD tool manuals and foundry interface.