The MAX Yellow and Green lines both stop just outside the bus station. Catch either one (going towards Expo Center or Clackamas, respectively), and get off at Rose Quarter, just across the river. Transfer to the Red Line to the airport. It pulls right up to the terminal.
There is a light rail station just down the street and you can transfer once to the red line which goes right to the airport. Or call a Lyft.
Light rail, lyft, uber...not sure about busses, but they're nearby
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