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Foul taste in mouth just after cold is usually due to post nasal drip. Take steam and do warm saline gargles. Drink plenty of hot fluids. It can be due to dental caries, gastro-esophageal reflux disease, salivary glands infection, pharyngitis or strep infection, medications like antibiotics, vitamins and antidepressants, poor oral hygiene, copper or lead toxicity and Sjogren’s syndrome.
OK here are a few tips for you. Try them. They should help. Have citrus juices, lemonade and foods marinated in vinegar. They help in washing away the foul taste by producing more saliva. Brush your teeth and your tongue with a tongue cleaner at least twice in a day and surely at bedtime. It will help in lessening the foultaste. Vit C tablets, over the counter oral mouthwashes will help fight the taste. Increase fibers in the diet. Eat fresh things like apples that are crunchy or rough things like popcorn scrapes the white debris off the tongue.
Hope this helps. Please let me know if there is any thing else and do keep me posted. Take care!