I don’t really understand what the issue is? Are you trying to get them to share a cage? Or is it the “clicking on the cage bars”? In general, unwanted behaviors should be ignored. A repetitive behavior such as biting the cage bars can be from boredom, stress or frustration. It may be that these birds do not like each other at all. You might try a visual barrier in that case. If one bird drew blood on the other when you had them together, then that’s a strong indication that they are not compatible. Otherwise, some spats and sparring are a natural behavior between birds, especially when they are sorting out who is in charge. As long as feathers aren’t being pulled out or blood being drawn, it’s nothing to worry about. If one bird is chasing or following the other relentlessly, this is not good and the birds should be kept apart. Parakeets are very social so if they are not tame pets, they need another bird or a lot of toys to keep them occupied. There is no need to mix up the toys unless you are trying to discourage hormonal behavior. You might be making them nervous by doing this. If you can better explain the issue, I can be more helpful.
Thank you for asking Lafeber,