They are: grape, heirloom beefsteak type, and San marzano. I don’t know werher that’s determinate or not. And they were the largest cages the sold at Home Depot. They are taller than 5 feet while staked

Why can’t I add photos

There are two general growth forms for tomatoes, either determinate AKA bush tomatoes, and indeterminate which continue getting taller over the course of the season. Determinate/bush tomatoes do better in cages unless you find or make supersized ones. Indeterminate tomatoes do well with extra large and sturdy cages, or you could support them by tying them to stakes. I can get heavy duty 6’ cages locally, but I have seen other gardeners who make them from rebar and the steel mesh used for concrete reinforcing.

Next year research your plant varieties before buying and if you want indeterminate plants, give them a bit more space and find or make sturdier support. The cages you have now would most likely be fine for varieties that have a determinate/bush growth habit.

Your cages have wrong shape and size for your Tomatoes. You can't do much about that this year, but you can learn how to avoid similar problems in the future. My advice is: make your own cages that will fit the size of your plants, from a fencing wire like the one in the center in the pic in the link below (you have to have large enough openings between the wires to be able to pick your fruit) https://www.google.com/search?client=firefox-b&biw=1002&bih=607&tbm=isch&sa=1&ei=36lsW_qzJOLs9AOFu7nQBg&q=fencing+wire+types&oq=fencing+wire&gs_l=img.1.1.0j0i67k1l3j0l6.66006.66006.0.69282.1.1.0.0.0.0.136.136.0j1.1.0....0...1c.1.64.img..0.1.136....0.ugUySlSIMnM#imgrc=ddtj34GlHymJiM:

Save some seeds from your fruit so next year you can grow exactly the same cultivars that will fit your cages. Growing Tomatoes from seeds is easy and fun.

One more thing: next year give your plants much more space between than they have now. And, since you are saying you are organic, mulch your soil!

Here is some more info on the determinate and indeterminate types of Tomatoes: https://www.gardenweb.com/discussions/2766765/what-is-the-difference-between-determinate-and-indeterminate-tomatoes

Here is how my Tomato cage looks like: