depending on how frequent every third wash is for you, I'd say it is possible you have some protein overload, as Aphogee is a strong protein. I would reduce that to once a month right now and up your moisture game, as mentioned above, and see how your hair responds. Honestly, my hair doens't break that much, but was before, and so for me, I realize that's probably not good, IMHO... But I think it could be a lot worse if it continues... When you do an Aphogee treatment, be sure to always follow it with a very moisturizing deep conditioner.
Right now, it would be great if you could wash once a week, preferrably with something very gentle, then follow with a serious heated deep conditioning treatment, and then style as usual.. Be sure to cut out on heat if you are using that... And to protect your ends, some Herbal Essences Long Term Relationship leave-in with castor oil or coconut oil on your ends will help tremendously. I would baby the hair for awhile, and cut out anything that could be causing the damage. Also, if possible, get some gentle hair tools like a Jilbere shower comb to detangle with, and a Goody Jojoba Infused Paddle brush from Walgreens or Rite-Aid.
Also, if you are stretching your relaxer or have lots of new growth, combing through that without the softening and moisturizing effects, as well as detangling effects of a good conditioner and deep conditioner will cause some serious breakage... I hope this helps! If you have any more questions, please PM me.. I am not the authority on anything, but I've learned a lot here to keep my hair from breaking, and shedding a lot... I am well pleased with the results...