TXB0102 only translating in one direction
I've had some issues with TXB0106 which works the same way as TXB0102 (I think). When keeping VCCB powered and cycling VCCA together with OE, the TXB froze with the outputs stuck somewhere in between GND and VCC. Our solution to this was to actively push the datalines from the CPU side, to high before setting them to the correct function. 

You could try and set a stiff pulldown on the OE pin so the MCU won't trigger the output enable during reset.