Start your mission on the Moon

Simply done, you get this for landing on the moon. Click through the tutorial so you know how to play the game.

Build something on the Moon

Click your Lunar Lander, and "Land Crew". Select your crew member, and click the crate to your right. In the crate's inventory, you should have a few items, such as a blueprint for a "Main Module". Use that, and build it near your Lunar Lander. This gets the 2nd achievement!

Collect your first energy value

Select your Main Module, and click "Communications". You should have a list of items to buy. The easiest way to do this in my opinion, is to buy 1 of "Solar Panel/Battery", and spend the rest on "Random Loot". You are looking for a large battery, a buildable one, and not a consumable item, and a Solar Panel, in the crates that drop.

You should get 1 of each in the crates that drop. If you don't, pick up the rocks, and go to your Lunar Lander, and click "laboratory", and click "Explore", and wait out the prompt, until you have no more rocks. This should get you more money, to buy more Random, and get the one you need.

Once you've got what you need, place the Solar Panel, and the Battery next to each other. They must be directly next to eachother on the map, and then the achievement will unlock!