The front bar on the Outback tends to be quite a different design to the equivalent Liberty. You may get lucky with a Liberty lip fitting, but you may not (if I had to bet one way, I'd bet on not).
There are some "universal" rubber lip products that you may want to consider - things like this (I don't link it because it's good or bad, just because it's an example of a universal rubber lip product):
https://www.ezlip.com/