While we can choose which field to order by when searching in advanced mode:
… we cannot choose whether we want to order ascending or descending.
Adding orderdesc modifier would easily make it possible:
order:likes is already descending, right?
So what you want is “the opposite of the normal order that this term means”.
Not sure about this, but… How about order:-views to start at 0 and go up, while order:-latest starts at the oldest?
struggling to think of use cases for orderdesc:likes or orderdesc:views, though I am open to possibly adding order:earliest (its quite rare to need though)
We should find a way to allow for opposite ordering for any ordering type (kind of a universal way of doing it), then easier to remember and use.
You never know what one could come up with 
I’d use orderdesk:likes to identify which type of material is the worst in terms of people likes and not create similar topics, or not include them in the lists.
orderdesc:views might possibly indicate topics that need some more useful information to get more attractions from organic search.
I think there might be more use-cases I can’t think of, why not just make it possible with a single operator.