The labels in the middle of the sides are confusing, but if you focus on the labels with the arrows at the corners you'll see the x-axis is economic, and the y-axis is social:

'Left' points left

'Right' points right

'Progressive' points up

'Conservative' points down

(though not sure why you’d flip it rather than just using the Political Compass as it is).

Yeah, I guess 'Progressive' and 'Conservative' aren't exactly 'Libertarian' and 'Authoritarian' on the usual compass.