Wrong on a few points peeps
Civlians in 5.6 do build fuel refineries, automated mines check youre civ-ind screen ive done all of those and they show up at destination. - shaitan suggest u try all the installations the civilians can produce ( and yup they were moved in 0.2 pieces by my civilians but i ordered 2 and over a year they all got moved) no other current civlian projects from earth are running.
You can set up a contract to move all those installations (Automated Mine, ... , Terraforming Installation) by the civillians. This doesn´t mean they will build it for you.
Look at the civvy screen again.
There is the drop-down with the installations, e.g. "Automated Mine"
Below it the "Contract Amount" Supply/Demand. Here you put in how many of those installations you want to be moved to (demand) or from (supply) this colony
If you put in "supply" the civillian will take the specified number of installations from your allready present ones on that colony to fulfill any "demand" within 4 jumps
If you have, for example, 100 Automated Mines on Earth and want to put 10 Automated Mines on Mars, you would open the Earth Civilian/Ind Status screen, select Automated Mines, Contract Amount: 10, Supply, Add Contract.
Then got to the Mars Civillian/Ind Screen, again select Automated Mines, Contract Amount: 10, Demand, Add Contract.
Now your civillan owned freighters would take 10 of your 100 Automines from Earth and drop them off at Mars, leaving you with 90 Automines on Earth.
They will NOT build Automines for you for free!