The reference to "LV" and "HV" pins make it unfortunately clear that klrock is attempting to use one of the "bidirectional level shifters" that are specifically
not recommended for this purpose (because they are reasonably likely
not to work).
You
need to use a 74HCT14 or failing that a 74HC04 with two cascaded gates for each channel to perform the level shifting as indicated in #8. (Unused gate inputs grounded or connected to the same 5 V Vcc as the chip.)
Use one inverter pair to drive
each of the two LED strips.
And that was before I looked at his illustration which confirms the error.