Then a good guideline would be to assume the natural decay rate of already-existing geological features. Let’s suppose that smaller human-made objects (toys, cars, most of humanity’s accumulated non-genetic knowledge) erodes much faster than its larger structures, such as skyscrapers and dams. These larger structures would survive till the earth’s crust subsides and destroys them, or due to other tectonic movements. 

In that case, the few remaining pieces of evidence would be our artificially-made chemical compounds, such as plastics. These could accumulate, forming a thin geological layer that deposits in much a similar way as the remains of other catastrophic extinction events, such as the K-9 barrier. 

Finally, there would be a long-lasting piece of evidence in the form of space debris and any other spacecraft that humanity launches into outer space. These could last either indefinitely, if launched into deep space - or until some other large gravitational force dominates the earth’s orbit. This would most likely happen when Sol nears the end of its life and engulfs the Earth.
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