Start Easy
"ConFuse Box 2" might seem a little too hard for the average player right out of the box. If you're coming in cold and you want to learn how this game is played, go back to the beginning and do the simpler puzzles found in "ContinuityBox." This is the easy version, and it will let you build up your skills until you're ready for the harder "ConFuse Box."
Think Outside the Box
The natural impulse when playing "ConFuse Box 2" is to start at the power source and move out from there. Don't fall prey to that. Examine the entire field and look for potential connectors and ask yourself how you could make a concrete path between the bulbs, rather than trying to move from the power source to each, individual bulb.
Random Generation
If you're having problems with one particular puzzle, rebooting the game is always an option. Since it's a puzzle game, even if you're trying to play for a certain score or award you can keep re-starting until you find the most favorable path to your own goal. This might be time consuming, but it also gives you plenty of practice.
Speed
If time is your concern, then don't be afraid to fiddle around with all of the potential bridge connections. This is especially true for players that have trouble visualizing something without actually seeing it in person. Flip the connections as fast as you want until you see the pattern. This can also improve your play, as you get used to moving at a faster pace.