Do it this way for the win and the easiest method:
For the new sand destined for the new tank, even if you're bringing over old sand to add, as a separate preparation step for the new tank, you take that sand in increments in a bucket and you tap water rinse it to perfection, each increment. It'll take hours to pre rinse one bag at a time, in little sections.
Be taking a test handful of sand after each section rinse, drop the handful into a clear glass of water to see if it falls down like snowglobe grains totally cloudless. If you get any clouding, redo it all until every section is cloudless.
Do the final rinse of each step in saltwater, to evacuate the tap.
Set this perfectly rinsed, impossible to cloud sand in the new 55. Fill the 55 with saltwater matching temp and salinity of the old water
It does not matter if you add new rocks that aren't cycled, simply rinse off whatever extra rocks you're going to add and set them in the cloudless new tank. Nothing clouds due to pre rinsing, it doesnt matter if your rocks are cycled or not, the old ones are.
You then pick up and set over squarely in the new tank the old rocks and anemones and fish and it all skip cycles
Do not move over any unrinsed sand
You didn't increase your bioload in the transfer you tripled the dilution and kept the same bioload and rocks that ran your previous tank which is why this doesn't recycle
No bottle bac is needed, its a waste of cash if you use any
If you installed already live rocks from a pet store in addition to the old rocks that's a skip cycle
If you install dry rocks, not cycled, it doesn't harm your new tank because we kept and transferred all the old rock
In fifteen days of merely sharing the water, any new dry rocks will be fully cycled but you didn't need them anyway, they're just extra, you didn't increase the bioload in this transfer... you lowered the bioload those old rocks see because you increased dilution and kept the same number of fish.
Expect algae issues soon if you choose to add white dry rocks into the mix.
Do not skip one iota of pre rinsing new sand, even if the bag says not to.