If the two miners are exactly the same firmware and hardware, then giving two miners the same work will produce some of the same results.
They will not always produce exactly the same results, since the two miners will not mine at exactly the same hash rate and exactly the same CPU clocks getting exactly the same time between generating internal work.
But typically one would do more work and the other slower one would do a less amount of work that overlaps from the start of the faster miner.
P.S. since you included the term "Pool" in the header. No that wont happen unless the pool doesn't know what they are doing.
Thanks