Cats can be given probiotics if they vomit. There are many reasons why cats vomit, such as hairballs, parasites, and digestive problems, each requiring individual analysis. If the vomiting is due to a change in environment, food, vaccination, or deworming, you can give them probiotics like MeowThink. If the vomiting is due to indigestion, you should give them MeowThink Gastrointestinal Promoting Agent. Of course, if the vomit contains hair, you should give them cat grass or hairball remedy. 
Benefits of probiotics for cats:
The main component of probiotics is beneficial bacteria. By increasing the number of beneficial bacteria in the gut, they can inhibit the growth of harmful bacteria. Their main function is to regulate the gut microbiota, maintain gut health, and promote digestion. Probiotics can be given to cats with indigestion or prone to diarrhea during food changes to reduce intestinal irritation caused by the change. Finally, not all probiotics are effective for diarrhea.