The German / US extradition treaty of 1976-06-20 only references hard drugs as a reason for extradition, so this would depend on which type of drug is referenced in the charges.
It is likly that any soft drug charges, that are considered a crime in the US, is not considered a crime in Germany.
Crime (Verbrechen) is when the minimal punishment is 1 year or more and without any reverence to a suspended sentance or money fine.
Every thing else is a Vergehen (misdemeanor).
Convictions are not referenced in §5 (general rules for the issuing of visas), where in §54 (serious crimes) artical 1 is not listed (conviction of 24 months or more). Only 2 and 4 are referenced (Overthrowing of the state and crimes against humanity).
As stated above, evasion of justice, is your main problem.
Here you are strongly advised to complile a statement explaining the whole affair including what the original charge is and the what the German equivalent is.
This statement (in german) should be compiled and verified by a German lawyer (i. e. it is clear to the reader that it written by a German lawyer).
With such a statement a decision can then be made if the affair is relevent or not.
Also a conviction record from your home country would be useful to determine if this a one time affair or not.
As a general rule, European Justice systems attempt to reintegrate offenders.
So the combination of a legal statement with a (lack of) a conviction record will go far in assisting them to come to a conclusion.