Returning to the Earth from the Moon isn't too tough if you think about it a smidge. Here are some goals of such a trip:
1. Leave the Moon's SoI heading in a direction that takes you to earth.
2. Conserve fuel with the most efficient course.
To accomplish #1, you could just thrust prograde until your Moon orbit eccentricity is > 1. You'll eventually leave the Moon's SoI and the Earth will tractor beam you in with it's gravity. Although, out by the moon, the Earth's Gravity isn't all that strong, and it will take a while.
The second goal is where we find the Lunar-return trajectory rosetta stone. Indeed, this technique can be used for any planet escape where you wish to achieve an orbit that takes you closer to your orbiting body's parent (Mars back to Sun for Earth Departure, for example)
To achieve the second goal, we'll use a Hohmann Transfer Orbit. The very same orbital maneuver that we used to get to the Moon in the first place! But, this time, we're around the Moon, and the "high" point of our Hohmann Transfer will be the point where we leave the moon's SoI, and end up between the Moon and the Earth.
I cooked up some bad diagrams to give you two examples of how to accomplish your task:
In this diagram we are orbiting the Moon "Prograde." That is, our orbit about the moon is in a similar direction to the Moon's orbit about the earth.
At point A, the farthest point from the Earth, we make a Prograde Burn until our ecc is just barely > 1. We will orbit about the moon until we reach point B, where the Moon's gravity will be so weak and our velocity such that the Moon leaves us behind. A Mid-Cource-Correction (MCC) at this point sends us Earthbound.
At point C, we burn retrograde for circularization, and we're home.
In this diagram we are orbiting the Moon retrograde, that is, our orbit about the moon is opposite the Moon's orbit about the Earth. This orbit is a favorite of Free Return Trajectory lunar voyages.
At point A, again, furthest from the Earth, we thrust prograde to execute a Hohmann Transfer to point B, between the earth and the moon.
At point B, we've again left the Moon's SoI, and make an MCC to orient our desired aproach to earth.
At point C, we make our Circularization burn, and we're home.
It's really that simple. Simple enough to be done with the Transfer MFD, Sync Orbit, and Align Planes MFDs.
