What is eating my peas and beans and how do I kill it?

Could be a host of things doing this. Stink bugs, Mexican Bean Beetles, aphids, slugs, thrips, caterpillars, etc. all like to eat on many vegetable plants.

If trying to avoid non-organic chemicals, you can try a mix of dish soap and water and spray the plants with that, or a product called Spinosad which is touted as organic and mixes like any pesticide. There is also a product that goes by the name BT and won't harm other beneficial garden insects.

ETA: Just need to ask this question. Why the downvote on an answer that may help the OP? He asked for info as to what could be doing the damage and how to deal with it. I gave him a list of bugs that do that type damage and a few ways to treat it organically. I think everybody knows how to treat it with non-organic insecticides, so I didn't include that option.

Some people's children...….

The pod damage looks like worms to me, but I haven’t grown beans in years so don’t take my word on that.

If it WAS worms, though, BT ought to knock them out, but you’ll need to apply it fairly regularly (i.e. once a week or every other week).

Acephate will also do the trick, but again you will need to apply it regularly due to lack of residual. It will also kill most of your beneficial insects as well, though, unlike BT. We tend to avoid using it until late in the season due to this.

From Jerry Baker:
1 Cup baby shampoo
1 Cup antiseptic mouthwash
1 Cup tobacco tea

To defend against rodents you can also add a 1/4 cup hot sauce.

Mix all ingredients in a hose-end sprayer and top off with water. Attach sprayer to hose and soak your garden, trees, shrubs, etc. I have used this for years now, and it is an affordable alternative to commercial options that works.