The HP Printer won't recognize new ink cartridge when you have not installed the ink cartridges properly or it has not perfectly seated in its place. Besides this, the same issue also arises when you forget to remove the sealing/protective tape from the ink cartridges. To get rid of this issue, you should try to reinstall the old ink cartridges and then take them out again. Afterward, you should install the new ink cartridges once again. After undergoing this procedure, you should restart your printer and see if it helps.