Many thanks for your feedback and that you tried it out! I think I should add a tutorial in the next update.
You can see if a building is currently producing: The alloy refinery has a blue glow and the fans on on roof of the buggy factory are rotating when production is running.
There are some possibilities to better manage the production: When you double click a building all buildings of that type are selected and you can start production on all of them. There is also the possibility to store a shortcut for the current selection (ctrl-(1-9) ) and the current camera position (ctrl-(F1-F9)). (This may not work in the browser-version but only in the installed version.) You can see the current hitpoints below the building portrait of a building when selected.