Reroute Lot Sewer Pipes

I think you are over complicating it. I assume you only want to move the connection a minimal distance. Assuming the current lateral line isn’t almost at the surface, just dig down exposing two or three feet of the upright. Cut it and install a tee. Trench a lateral line from there to where you want it. The slope only needs to be 1/4 inch per foot of lateral line. You can move the connection nearly 50 feet with only a foot of slope. Put a long sweep 90 and attach the upright with a sewer cap. Back at the original it would be wise to run up an upright from the tee and cap it with a threaded clean out plug. You could even bury it a few inches if you want a smooth yard. Just be sure you note where it is so you can uncover it if you ever need to snake the line. Placing a piece of metal on top before burying is a great tip since it can easily be located with a metal detector. Twists and turns really don’t matter as long as you keep them gradual and remember the first rule of plumbing: Sheet flows downhill.