Is more rear end "bounce" to be expected after lift?

I'll start off by saying that while I have always liked the look of a lifted truck, I've never actually owned or driven one before. Several weeks ago, my friend and I installed my lift kit and I got new tires installed shortly thereafter. I've also not done much of any suspension work myself on my own vehicles, so I have some paranoia that I did something incorrectly.

I am experiencing what I would call more "bounce" from the rear of the truck when I go over small to moderate bumps while driving. Think of how a diving board at the pool resonates after you jump off of it - that's how I think it feels going over a small bump. I feel the bump and then some more bounce as I move forward. Is this normal or could I have done something not quite correctly? When I got new tires put on, I had the mechanic take a look at the installed lift and he said it all looked good (with the exception of questioning the differential drop).

Details of the lift:
Toytec/Eibach Stage 1 front coilovers (gave about 2.75" of front lift)
Eibach Pro Sport rear shocks (reused all factory hardware & bushings)
Toytec adjustable rear shackle set at 1.5" of lift (used new shackle hardware but did not remove the factory bushing in the leaf spring)
Tires are 275/70 R 18 Cooper Discover Rugged Treks set at 35 PSI

 

Between the new E load tires and the shackle lift, I’d expect that

 

Congrats on lift, any pics?
I have the complete Toytec Aluma series complete lift kit with no issues... I recently added both Trd Sway bars and makes a Yuuuge difference, especially the get on/off ramps.. A must do mod... Good luck.

 

I also have the rear sway bar installed.

Here's a pic after the lift was installed:

 

Thanks guys! It is reassuring that I didn't completely foul up my relatively brand new truck!

 

And just to add the rear sway bar…

I definitely got a slight more bounce after but only on the rougher roads.

But exactly what he said^^

 

Did you torque the shackles with truck on ground/under weight or while in the air? Should be on the ground, tightening them in the air will cause the bushings to bind and give a rougher ride.

 

I am trying to remember, but I think i torqued them in the air. Is it as easy and loosening and re-torqueing them on the ground now?

 

Think that would be fine

 

Factory bushing in the leaf spring could be an issue too. Might want to replace those with poly bushings for a smoother ride.