Snow Leopard 10.6 is fully supported from initial version on Mac Pro 5.1.
Or you're meaning Leopard (10.5)? It has no support for Mac Pro 5.1, those machines were delivered with Leopard.
Anyway, a firmware downgrade is only possible by manually flashing a reconstructed firmware.
This is incorrect, back then firmware downgrades were only possible if you still have MP51.07F.B03. Probably no one at all have this BootROM version anymore.
Once you updated to anything else, bye bye. OP most probably already have one of the Mojave firmwares, since he is running Mojave.
Anyway, you don't need to downgrade to run Snow Leopard.