You are rerouting
The
>> ${buday} part 'reroutes' stdout to a file. This is short for
1>> ${buday}.
My guess was (and is) that the other messages are comming from stderr (which is normally send to your terminal), so that's why I suggested the
2>&1 addition. All comming from stderr is redirected to stdout, all comming from stdout is redirected to ${buday}.