Hangzhou Xiaoshan Airport supplies coaches to Shaoxing directly. The first one leaves at 06:00 as well as the last bus leaves at 18:30. The ticket fare is 30yuan per head. But, if there are a few of passengers, the scheduled bus maybe cancelled without note.
In this case, take the airport bus to Hangzhou Railway Station where you could take a train to Ningbo. The last train leaves at 19:52.