Keep trying to feed him, everyday.
The open mouth could be a few things: usually it is the anemone ejecting waste material after a meal- shell, and other indigestable material. However, I have not seen this happen for more than a day at a time- and it is usually accompanied by the anemone contracting the rest of its body, shrinking itseld dramatically, which, by your picutre, it does not seem to be doing.
I also see you have a resident porcelin crab, looks like. I would see if you can seperate the two until the anemone is eating regularly. Your anemone might just be acclimating...
A good indicator of health is the general "stickyness" of the tentacles. A healthy anemone will have enough energy to produce nematocysts and fire them (stickyness) whereas a stressed or nutrient deficient animal will not spend the energy making them (very energy costly to make and use nematocysts)
if you haven't already, please get and read Dr. Shimek's "Host Sea Anemone Secrets"...
Keep trying to feed him though, even helping by gently holding the food on or near the mouth for 5-10 minutes.
HTH, Peter