How do you feed a new born baby squirrel?

I used an eye dropper. Go to a pet store and get replacement puppy milk not cat. Warm a small amount and slowly offer it to the squirrel. Don't force it or it will choke, but after a few drops and a few times doing it, the squirrel should accept it. You have to stimulate it to go to the bathroom also until it learns to do it on it's own. Use a warm, wet cloth and wipe it's bottom a bit until it releases urine and feces. It's no big deal. They need warmth but not too much. Room temperature and a towel to get under should be enough. Holding them, body contact will make for a tamer squirrel. You will be peed on regularly. It comes with the job. I had mine for 8 years and she was a great pet, but they chew on everything. For most people it is probably best to get them grown and release them back to the wild. You will have to provide food for a while outside until they learn the tricks from other squirrels.

As for the actual feeding, hold them in a towel or just your hand, get the tip of the dropper in their mouth and give them a few drops. They soon learn to hold on to the eye dropper and will take the food at a faster rate. Good luck