What actions are expected after lying to E-5 and E-6?

Lies are like old fish in that they only get more noticeable with age. This is literally one of the simplest and easiest to fix things in the world. You're in the Infantry, accept your screw up, do the push-ups, and move forward with life. When you become a more experienced NCO you'll realize that everyone around you is screwing up constantly and your job is to keep them all from accidentally killing themselves by eating lead paint chips or marrying strippers and then moving them into the barracks. Forgetting to sign out on leave is a 1 out of 10 on the screw up scale.

So, you were in pain and tired which caused you to NOT sign out after midnight? Last I checked, a Soldier does not have to sign out at 0001 hours the day they are to start Leave so long as they sign out on that day prior to work call. Unless, of course, there is a local policy dictating you are to sign out at 0001 hours. Now, on to the issue at hand.

You lied to your NCO as to why you didn't sign out. You lied to your NCO as to your location regarding why you didn't sign out. So, you provided false statement.

I HIGHLY suggest you come clean and admit to your NCOs that you lied to them as to why you didn't sign out. Now, you could possibly face UCMJ for violating Article 91 and Article 134. Or, you could possibly face just a verbal reprimand. Either way, a Counseling needs to be done. I say this because the truth will eventually come out that you were not in the hospital.

Again, the issue is not that you didn't sign out when you were "supposed to," but that you lied to your NCOs.

Come clean. Tell the truth. Take the lumps that come.

You are a NCO yourself, how would you react and feel if one of your soldiers did the same to you? Come clean and deal with it... Army Values and all, I guess...

And above all, we all make mistakes, just learn from this one and move on!

Thank you to everyone that replied, I eventually came clean and dealt with the consequences.

Come clean and explain why.
Lying is a poor example to your troops. Do not lie to them nor lie to peers or superior ranks. You said, "because they’re asking for paperwork but I’m tempted to just come clean.", that implies that otherwise you would not be considering telling the truth.
I do know the CO's I had when I was active would simply reduce you back to SPC/E4. They might have taken a stripe, busting you back to PFC/E3. It's their option, not yours, usally depending on how much you lie or fail to own your error.
When you arrived at your unit, trust was given as a professional courtesy as they did not know you. You have made a serious error. Regardless of the outcome, You will have to earn the trust of your Chain of Command back before you can go on with your career. As you progress you will face the same situation from the other side. Remember this life lesson, in or out of the military.

Just come clean. The longer this goes on the worse it'll get. As for what punishment you can expect - I'm not sure. In my time, this *probably* wouldn't have risen to Article 15 territory but I could certainly be wrong about that. Just take whatever you get as a lesson-learned and move on.

Honesty is always the best policy.

Tell them what was going on.

Your health is more important than your E5's hurt feelings

In the Army you are NOT SICK OR INJURED if it is not documented.

Your NCO's need your signature on the sign out with proper documentation because your S1 needs that signature, and your S1 needs that because your commander needs that signature and your commander needs that signature because the whole system needs that signature.

This isn't going to get swept under the rug. One can't lie about things that need documentation from others

Come clean ASAP as hopefully this can be handled at the 1SG level. Who knows what 1SG will do, but he can't take rank and pay. If it gets to the Commander that's were its going to go.