A warranty operates over a period, usually a year, possibly longer, starting from when you bought the item. If it fails in that period the seller is under an obligation to replace or repair it. It's a good idea to keep the receipts for things you buy. If it fails after the warranty period, that's the buyer's problem.
It sounds as if you sent it for repair and the seller, or UNI-T, refused to do anything with it because it was too old. Most of the better makers will repair items that are outside the warranty period, at a price. It usually only applies to more expensive items. They may do that for items they no longer sell, up to a few years after they stopped selling them.
It would be a good idea to check by email, whether whoever you want to repair an item, is willing to repair it, before sending it off and parting with money. If it's an old item they are no longer prepared to accept for repair, they should know that from the start and be able to tell you.