There's no historical evidence the Russians had anything to do with assassinating the Austrian Arch Duke.
But there are documents showing the Kaiser's High Command pushed Austrians into issuing an ultimatum to Serbia and then declaring war.
And the Kaiser knew what his people were doing.
He wanted a quick little war, to be over with before the Russians & French had time to respond -- a fait acompli.
Things didn't work out quite as planned...
First of all, Gavrilo Princip and his band of Nietzsche loving Nihilists louts were used by THE BLACK HAND ( no, not the Italian Mafia...go look it up! ), those who were unhappy belonging to the Austro-Hungarian Empire, and yes....RUSSIA, to murder Franz Ferdinand and Sophie. And IF their driver hadn't made a wrong turn, they NEVER would have been shot that day!
Russian was all for the Bosnians and Serbs breaking away, so that perhaps Russia could take them over, or, at the l;east, cause some havoc. So they helped push the assassination, paid for some of the guns and bullets, and DID meddle in this whole thing; before, during, and afterwards!
The Emperor Franz Joseph, demanded an apology! One would have prevented WW I; at least at that time!
In order to get one, the old man asked Kaiser Wilhelm to handle it for him, as he was not only old, by emotionally distraught. Willie obliged and sought the apology, not once, but over and over again, but was rebuffed and NOT politely! And so WW I began!
Okay, yes, the above is not only a Cliff's notes version and waaaaaaaaaaaaay dumbed down, but IF you are truly interested in this topic, I'll give you some book titles to help you out.