There are no identifiers like "forward" and "reverse" in your schematic, may be they are in your head. It would be better if you clearly describe which signals have been applied to which actual circuit pins. I understand that the said drive pattern involves a circuit modification, because the original circuit has only two input signals DRV1 and DRV2.
You should also show which waveforms have been observed to allow others to determine if they are expectable or indicate a wiring fault or part defect,
You should however consider, that if the LIN signal of one bridge side is permanently low (deactivated), the HIN signal has no effect due to missing bootstrap supply.
To comment previous post #4, the Vdd and Vcc supply levels in the original schematic (5V and 12V) are just O.K.