How does scientific names impact classification

That is an oddly phrased question. The scientific names we use now cam from the system of classification that spawned the way we still classify organisms today, started by Carolus Linnaeus. So the better question might be, how did classification impact scientific names?

Of course, in all of the charges that go on in taxonomy, the answer o your question might be that, as the systems and ranks became more complicated, the additions had been made farther up the hierarchy, as to not affect the genus and species levels so much, as those levels are what we use for scientific names.