Within Teamwork, you can set default board columns for your task lists.
When a default column is set, any new tasks added to the associated task list will also be added as cards to the column.

In the List area of your project, click the three dots to the right of the task list title. From the dropdown menu, select the Edit List option.

In the Edit Task List modal, go to the Defaults tab and click the Edit button.

In the default settings, select Board Column from the More dropdown where you can select a default board column from the dropdown.
Note: The board column option will only appear if the project has at least one board column created.

For more information, see: Using Default Task Lists in Board View