Actually, both of these cups are recyclable - sort of.  I took this photo because these cups appeared to be made of the same material, yet only The Moe’s cup had the three-arrowed recycling symbol on the bottom.  After emailing Berry Plastics, they ensured me that both cups were indeed polypropylene, A.K.A. plastic #5.

Since plastic #5 isn’t recyclable in our area, you’re still better off reusing an old cup each time you visit one of these restaurants.  But if you do live somewhere that picks up plastic #5, the Atlanta Bread Company cup can be recycled despite not being labeled.