You may need to use a box for a little while until you learn to lead with your hips first, then transition into a free squat. The stance does not need to be wider, the load needs to be shifted to your HIPS though.
The video you linked shows a much different squat than you are using, note the "sit back" cue given. You also need to squat with more depth, so that you strengthen your glutes and hamstrings up to par, and arent overusing the knee.