Thanks for the photos and sound file. Since you are getting the sound of the LFO out of the pedal, it seems to be mostly working, there is probably just something wrong in the signal path.
Does the volume of the LFO change when you adjust the volume control?
Does the rate change when you adjust the rate control?
Make sure there are not solder shorts anywhere, also make sure the back of the pots aren’t shorting out of the solder joints on the board.
Let me know about the controls.
-Brach