Lead status is not a field that you can pull into Phoneburner from Hubspot by default, but you can use a work around to set this up . The work around can be lengthy on the Hubspot side.
You can use the workflows option in Hubspot to search for a property and based on that value, create a new single line text property ( text properties in Hubspot are the only fields we can map with our integration) in Hubspot and have it filled in . The workflows in hubspot may have to be triggered manually to run.
For further information, please contact Hubspot on how to set these up. There is some info in their support documentation.