I'm no expert so do not quote me, but I believe you should mainly avoid processed foods. Make sure to drink plenty of water throughout the day but do not drink water while eating. If you do it will dilute your stomach acid and hinder digestion.

I am personally a meat eater so I eat meat, I take digestive enzymes though to help aid the digestion.

I'm not too familiar with the cleanse your doing, but I do know that you should just eat clean wholesome food. Also make sure to use cocnut oil as it helps with just about everything in the body.

Look into eating paleo. It is a diet that is an adaptation of what a caveman would have eaten. Eating like a caveman is how our bodies were designed to eat anyway.

Also to help aid digestion in the morning make sure to drink at least 1 litre of water before you eat or drink anything else. You can add lemon/lime to it to speed up the digestive tract. Make sure the water is warm though because it will go straight to you intestines and help push your bowels. Remember at least 1 litre, the more the better. Filtered water is best. So I advise in investing in a water filter.