Welcome to Justanswer! I am Dr. Altman and happy to assist you both today!
Unfortunately in this situation we cannot induce vomiting because the material can have sharp edges and do more damage to the esophagus on the way up so at this point all we can do is a few precautionary things to minimize the risk of an obstruction and help push this through the esophagus if it is stuck but if the vomiting is not subsiding in the next hour it is time to take your dog to the veterinarian and have them evaluated/ x-rayed
1.) Feed 3 pieces of bread now
2.) Take a nice walk to help move the material through. Not running around but a leash walk which helps encourage emptying of the stomach and digestion
3.) In about 2 hours repeat the bread which is used to help bulk up the foreign body to hopefully push them through and protect the edges from causing damage
4.) Monitor for signs of the material coming out the other end in the next 24-48 hours
5.) Again tomorrow a few nice long leash walks to help encourage gi motility and pushing the foreign material through the intestinal tract
This is the difficult part, the watching and waiting because all we can do is see if they pass on their own. Again if the vomiting is not subsiding please seek medical attention as this can do quite a bit of damage if passing through the intestinal tract indicated by the continued vomiting
Please let me know if I can be of any further assistance to you both
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