There seems to be an error in the virtual edition’s puzzle 54. The bits along the bottom are numbered 0 to 3, from left to right. This alternate version of the puzzle, which I’m calling 54*, is considerably harder, but still solvable (barely). See if you can solve it before peeking at my solution.
I thought it was impossible to complete this with only four red gears at first, but I managed to do some clever stuff with the bit in the lower right to make it work.