You have gotten a lot of good advice already.
First, unless you want to breed hybrid conures, you will need to separate them. Otherwise come breeding season this spring you may get an unwanted surprise as they are now both sexually mature. Also they will be much easier to tame if they are in separate cages. Right now they may be bonded to each other, and not real interested in making friends with people. I would try to keep the cages next to each other, or at least as close as you can. Nobody wants to be taken away from their only friend.
If they have never been handled, or not for a long time, it could take a lot of time and patience on your part. Right now they are scared of being in a new home with new people. Sit on the floor to seems smaller and talk to them, sing to them (mellow songs for now). Try to get them to take food from your hands. Eat in front of them so they see the food is safe and yummy. If you have other pets, hold them and pet them in front of the birds. That seemed to be part of what won over my amazon; he was watching me pet the cat on the second day, and after that he started trying to make friends with me. Spend as much time as you can in the room they are in as well. You may find after you leave the room that they start calling for you. That seemed to be the second thing that won over Pete. I went outside for a few hours after he watched me with the cat to replace the brakes on my motorcycle. When I came back in I heard some opera notes. At first I was like, what is that?? Then I came into the front room and said, "Was that you?" and he let out an entire aria for me.
If they talk or do any imitations, say the words or make the imitations back. Don't imitate any fearful screeches though or they will think you are scared of something as well. That worked very well for bonding with both Pete and Merlin for me. Some imitations they make are hard to do, but give it your best shot; they seem to know you are trying to talk to them in their language.