Does arm and hammer liquid laundry soap make a high efficiency liquid laundry soap for the new energy efficient washers?

Most liquid soap manufacturers try to produce their product to be the most efficient they're able, and they type of washer usually doesn't have much to do with it.

If you really want to get better cleaning, use 20 Mule Team Borax brand if you can still find it, or some other brand that contains borax. Borax is a natural mineral that tends to help any detergent clean better and if I remember corerctly, it helps by adding additional oxygen to the wash water.

Just a tip to help you out I also have a high efficiency washing machine and you can put 1/4 -1/2C arm and hammer baking soda in the rinse cycle of the wash which is a great alternative, Baking soda is a natural odor neutralizer being 100% pure sodium Bicarbonate. It also boosts your laundry detergent to make it work better by adjusting the pH of your water to neutralize the acid. No more stinky towels or clothes! Another thing that I have tried is using 1/4 C of distilled white vinegar in the bleach slot in the wash to effectively get rid of any odors that linger on your clothes. The acid in white distilled vinegar is too mild to harm fabrics but strong enough to dissolve the alkalies in soaps & detergents. Besides removing soap it prevents yellowing and acts as a fabric softener and static cling reducer and attacks mold and mildew. I really only use the vinegar when I have to rewash clothes that I left in the wash too long and they got that Mildew smell It works awsome for that, however in a regular wash is also seems to neutralize the soap smell too and I love my clothes to smell like laundry detergent so I pretty much only use it to get rid of undesired smells but if you want your clothes to smell like nothing the vinegar is awsome!