How to store/what to do with leftovers from Ayurvedic ginger & turmeric cold/flu drink?
It sounds like you have made what is essentially an oddly flavored vegetable broth.   According to Still Tasty, that should last about 4-5 days refrigerated.

The leftover ginger and tumeric is going to have given most of its flavor into the broth.   I don't think you would want to use it for anything, although it would be safe to eat.