Pippa has had a touch of separation anxiety. When she used to wake in the morning and bark for us (and when I knew it wasn't because she needed to toilet) I would come down and tell her firmly to be quiet and settle down, then go back up to bed. At first I would return after 5 mins and let her get up, if she had been quiet. I gradually extended this, so that now she won't bark at all, but just settles back down of her own accord. She had to learn that barking brought no reward. I don't know if this is a "proper" training method, but it worked for us.
When I leave Pippa during the day, she is crated with a kong or frozen carrot. I found if I left her with something requiring effort to eat like a chew or pizzle, she wouldn't touch it, but an egg-filled kong or frozen carrot are easily eaten and tempting enough for her. She does still sometimes bark when I first leave the house, but having left a tape recorder running a couple of times, I know this only lasts a few minutes until she realises her barking won't bring me back so she might as well settle and wait.
I think you need to leave Indie to bark and ONLY return once she is quiet. However, I am no expert, so perhaps someone else will have better advice for you.