There are several aspects to take into consideration with regards to Sturridge;
1. He can't play at the intensity needed in Klopp's primary formation
2. He can't press from the front like Firmino
3. He gets injured a lot
Point 1
This is absolutely true, running around like a beast isn't in Sturridge's makeup but it should be noted that a lot of the time (heck, most of the time) the opposition will be defending deep and with have no ambition about attacking and will just wait for a set peice. In these instances pace and stamina are complete no issues and it's all about streching the opposition defenders and creating a yard of space for yourself. Sturridge is better at this than most. He has the ability to create something out of nothing for himself or someone else. Even though the rate has gone down, Sturridge nearly ALWAYS creates something and often it isn't capitalised on.
Point 2
He can't press like Firmino, that that knowledge and work around it. Sturridge is best when he is around the box and IMHO, even now there is no one better in our squad in the penalty area than Sturridge. Get players in and around him, get players to work the channels, gets to support him and he'll thrive. This doesn't have to be at the start of games it can be in the closing minutes of games. If you are calling Sturridge from the bench to save the the game and make a difference then it's clear 'plan a' has failed so there is no harm in changing the formation and playing to Sturridge's strength at that stage you have nothing to lose and it will also make you less predictable.
Point 3
No argument to counter this. It's simply a fact. So you can only manage his time to minimize the risk of injury.
We have nothing to lose and Sturridge will be highly motivated if for no other reason than to increase the interest of better clubs when his contract runs out at the end of the season.
In closing:
Pick his moments.
Manage his time.
Play to his strengths.
Surround him with players that complement him.
Don't give him things that he can't do and then be surprised when he can't do it.
Do that and he'll be fine.