Just wait til the legislature steps in and declares Bevin the winner.
They can't. It would be unconstitutional and any such attempt would be killed off by the courts quickly.
The Governor and Lieutenant Governor shall be elected for the term of four years by the qualified voters of the State. They shall be elected jointly by the casting by each voter of a single vote applicable to both offices, as shall be provided by law. The slate of candidates having the highest number of votes cast jointly for them for Governor and Lieutenant Governor shall be elected
And what's to stop them from ignoring the courts. Republicans have clearly shown they find Democracy an annoyance