I gave my sim the steel bladder reward, and then gave her the eye candy reward. They show up in my sim's LTrewards panel in the order of when they were bought, instead of alphabetically or by price. Is there any way I can change this?

Is there a tab that says "Sort by..."?

Nope. This is the panel that I meant:

Notice the haphazard order of the three lifetime reward icons? I'd love to be able to reorganize them to make Discount Diners show up first in the panel.

I don't know, buddy, I have never tried moving them around but you might have to let that one go...