Hello! welcome to the forum!
Generally, having 2 in the cage lets them socialize with one another and not you. Not good for hand training.
Mirrors are also no good. A few toys is ok but mirrors are the biggest distraction. Its well known that they bond with mirrors and the "other bird" that appears there. A cage full of constant entertainment, distraction, and socialization from wake to sleep will make the training even worse. Separate them into different cages and watch how they react. If they are ok for a few hours, consider keeping them separate so that they might need to gain your trust to allow them to play together outside the cage.
If they are too far away from eachother, lets say separate rooms, they will be very very loud when chirping at eachother. This can be quite irritating to those in the house.
To start off with trust building, put the cage near where you sleep or a place where you can relax and have the cage immediately nearby. They will be hesitant to move about at first, but soon realize after a while that you are just sitting there and have no attempts to harm them. keep the cage close and talk to them to get in your social time.
When they move down to eat their food at the bottom of the cage, then you'll know your gaining their trust. Ground feeding is risky in the wild because they are open to attack. Which is why there are bird species which have a look-out sitting and watching for predators. They will sound a call if something is spotted so they can escape. If your pet birds are eating with you right next to them, then you can be sure they're trusting you a bit now. They will soon realize that flying away at your approach is an unnecessary error. Make this a regular thing until they get to know you more.
Don't try and grab them out (like they do in commercial pet stores
). You have to have them happy all the time. When there is a quite time, take some toys out and play with them yourself. My pet Conure gets jealous when I do that. Hehehe. They won't catch on right away so take time to enjoy yourself and know your making progress.
Give this a few days and see how things go. they should continue about what they were doing as you approach the cage. When they do, you can move to the next step:
When the bird allows you to be nearby, open the cage and reach in to adjust something, like a toy. Come back 10 minutes later and move something like a toy to another part of the cage. Is the bird reacting negatively? If the bird is flying uncontrollably around the cage when your hand is it in, go back to the previous step of sitting near the cage. If the bird is merely only clinging to the far side of the cage, you should be able to continue. Continue entering your hand into the cage until they see it as a non-intrusive act (they sit there nicely or continue doing what they were doing before you entered.)
Continue to next step only when progress is made.
When the bird is no longer afraid of your hand entering the cage and is not frightened, you may then try approaching the bird itself. If the bird reacts by flying or clings to the side of the cage, go back to merely adjusting things until it is ready. If it lets you approach, then congrats! Its starting to trust you! Put your finger to its beak or feet, but never behind it or above the bird. Don't touch, just hold it there. It may inspect your finger. If it bites, do not jerk your hand. Pull it away slowly until it stops biting. Come back 10 minutes later to the approaching action, but stay nearby until the bird becomes distracted by something other than you. Then come back and try again.
Continue to next step ONLY if progress is made.
When the bird is only observing your finger and not scared or biting, try touching his beak or foot and see the reaction. If the bird is ok with touching, try and pet its feathers. If the bird is being nice and not biting or is scared, keep petting. The moment he becomes uneasy, stop and move your hand away. Make the moment enjoyable and cease when the bird is no longer enjoying.
This won't all happen in the first hour. Trust me. The bird needs some time to trust you especially in a new home. Never strike a bird for discipline. It can be easily hurt and traumatized which will make the road ahead MUCH worse. If you have any questions just let me know.