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Knowing such, I believe you may want to complete the puzzle yourself. To nevertheless provide a hint, you may have assumed that the stars must be divided by both the blue and orange lines, when it is suffice to divide the stars using only one line.
If this was not the problem you were encountering, a solution is below.
Solution
On the orange side, complete the puzzle as to allow yourself to cross to the blue side, ignoring the blue line. On the blue side, move the blue line directly left/ right and then down (to whatever puzzle exit is still available). Cross again, back to the orange side, and complete the orange line as shown within the screenshot. http://steamcommunity.com/sharedfiles/filedetails/?id=617133765
I should note, this solution will not allow you to find a hidden Obelisk puzzle on the blue lines underside, although it will allow you to progress.
In short:
There is a way, starting from each side with clear board, to have the exit connected in blue or in orange and restore original situation.
Althought to have orange to exit I think you have to "lock" yourself on the other side as you did, and solve as the guys above me mentioned.
But if you want to restore the original situation, which it's in blue side with clear board, which allows you to end to the exit with the blue path, you can do simply this, if you are stuck on orange side:
https://imgur.com/LrdRzPZ