You can never make a cage 'inviting' enough for any bird to actually choose to go back in! That's like saying that you can make a jail cell so cozy that prisoners want to go back in them - it's impossible.
But, what you can do is time his coming out and meals so he goes back in because he is hungry. I open my birds cages as soon as I uncover them in the am (5:45 am this time of the year) and I put them back in for their breakfast at around 8 am - they have no problem with this because they are hungry for it (they get their produce earlier but they are eager for their morning gloop) and some of them even go back in on their own as soon as I put the bowl with food in it. I always follow the same exact routine (every single day regardless of whether it's a week day, the weekend or a holiday) and I always say the same things so, when they hear the "LOOK LOOK LOOK! Que rica papa! MMMM Yummy yummy for the tummy!" and they all know this means they are getting their breakfast (I use a different phrase for their dinner). Then, after they eat their breakfast, I let them back out (at around 9 am) and they stay out until it's about 12:30 or 1 pm - again, they have no problem with this because, as far as they are concerned, it's time for their noon rest (this is a natural thing for them, the birds in the wild also stop for a while at noon). See what I mean? You need to utilize their natural biorhythms (time to eat, time to rest, etc) OR use a special treat that he would ONLY get when he goes back (like a favorite nut) or their dinner. If you are very consistent in the daily routine and always say the same thing, they all learn. I have a male/female amazon pair that lives in the birdroom and, during breeding season (like right now!), the male gets VERY protective of the hen and their nest so I keep them in a large double macaw cage when I am not in the birdroom or when people other than me are going to be going into the room but all I have to do is put their breakfast or diiner or a couple of nuts (I call all nuts 'peanuts' and they know what that means) at the bottom of their cage and tell them to go 'Home' and in they go without a single problem! Other things they can't resist is birdy bread and birdy cookies (they also know the words I use for them: "Pan" and "Cookie").
Teach your bird to target and step to a stick and, if you time it right, you should be able to make him step up to a stick and move him back into his cage for his meal or reward with no problem.