First of all, get a crate and use it. It really helps with housetraining and it REALLY helps with mild separation anxiety.
Next, was she eating her poop before you changed her food? Some dogs find certain foods to be irresistable after they pass through. I have one of those. For a dog like this switching foods is definitely the thing to do. I look for foods with no animal digest, no natural flavors, no citric acid, or any other hidden sources of MSG that I can find. Some dogs just learn from their mom that eating the evidence keeps their area clean, or whatever they think, but it is just a lifelong habit that they have and the only thing you can do is be VERY quick to pick up. For some dogs, adding digestive enzymes to all the dogs in the household food works. It supposedly makes the poop taste bad, but it definitely does not work for all dogs.
Good luck on dealing with this nasty habit.
The frequency of pooping has to do with how often she is eating, so if you feed her regular meals instead of free feeding, she will poop less. Also as she gets older, her ability to hold it will mature and her intestines will slow some. Food can have an impact on this too since higher fiber foods are bulkier, however I don’t think it should be an issue with what you are currently feeding, but you’ll know if you change foods and immediately see an improvement.
