Basically, what the video is saying is that it is better to do a shorter combo that has a bunch of heavy attacks at the start than a longer combo with lots of multi hit lights/mediums due to the way that damage is scaled in combos.
For example, your combo starts off with three lights then a a couple of multi-hit mediums before you do cr.HP. A better starter might be cr.LP or cr.LK (or LPx3 so that you can visually confirm it hit), cr.MK, cr.HP. You still have time to see if it hit the opponent or if they blocked but it also won't reduce your combo's damage too much. Combos with lots of hits also build a lot of meter for your opponent.
So here is different combo that should deal more damage without being too much more complicated:
Cr.LK, cr.mk, cr.hp, j.hp, j.hk, qcf.hk, qcf.mk, dash, lk, MP, HP, qcf.hk, qcf.KK. This only uses one bar and hopefully isn't too complicated so feel free to give it a try (if you want you can also just do EKG/qcf.KK after the second air bypass).
Hope that explanation helped :)