My dog vomited, now he's snorting from his throat. Is it serious?

Hello and thank you for reaching out to Petco Pet Education Center, formerly Petcoach. I'm sorry to hear that Patton vomited today. If he is making some abnormal breathing sounds, it is possible that he could have aspirated (breathed some of the fluid into his lungs). This can lead to aspiration pneumonia, which can make dogs very sick. He may have some inflammation of his esophagus or his palate that is causing him to make a snorting noise, or he could even have something that is partially obstructing his airway. I would monitor Patton closely for any changes in behavior such as excessive lethargy or anorexia, or continued vomiting or diarrhea. Also watch for changes to his breathing effort - if he appears to be using his belly to help him breathe, this could be a sign of lung disease such as pneumonia and he should be seen by a veterinarian right away. If his snorting noise does not resolve on it's own over the next 24-48 hours, or if he develops any other clinical signs, I would have him evaluated by a veterinarian. They may recommend bloodwork and/or x-rays to look for evidence of lung disease. I hope this is helpful!