Fixed this exact same thing on someone’s car. Make sure to get the industrial 3m tape if you use it. I think it’s black.
Check the 3m web page for the proper stuff. You need to make sure you prepare the surface of the backing and the mounting point on the seat. After you did that real well you want to make sure you adjust the backing so its not out of the groove. For the next step I grabbed some of the kids playdo I put thin strips on the back of the seat to kinda mimic what the tape would do. I gently pushed the seat backing up and you can see how the playdo makes contact with the seat. This helps you place the tape better for full contact. After that push the backing on and mark where to put the strips. I found that really scuffing up both surfaces made for the best bond.
Before you put the tape down warm the tape up so it becomes more sticky. Also make sure you get a few things to keep pressure on the back of the seat while you wait for the bonding to take place between the tape and the seat.
Here is what I did there. I got a big tall and wide book a bath towel and two two by 4 boards. I put the towel around the book and placed it on the back part of the back seat. I then placed a small foot section of 2x4 on the back of the front seat directly on the other side of where the tape was. I then put a 2x4 between the book and the 2x4 on the seat and backed the front seat up until the 2x4 between the seats was putting pressure on the back of the seat. I did this just enough to hold pressure but not to over do it. I let that stay like that for about 45 min. Making sure it was hot in the car the hole time. After about 45 min put the seat back up and walla the seat back is back on and the tape bonded really well.