MPU6050 SparkFun Breakout to Arduino Uno - No Communication

You don't have I2C communication (or the sensor is broken).

I read that you already did the scanner sketch.
As I wrote in the other thread: I used this code by user RandallR for scanning. See here: I2C EEPROM AT24C16 - #5 by RandallR - Storage - Arduino Forum
Can you try the scanner sketch once more?
Do you have any other I2C device, to test the I2C bus with the scanner sketch ?
I use a I2C EEPROM to test the I2C bus, that chip operates at 3.3V, but also at 5V.

Is your AD0 soldered on the sensor board to either one (ground or 3.3V)? Just as in the photo of Obakemono ?

Meanwhile in the other thread, the pull-up resistors seem critical: MPU6050 + arduino nano + raw data over serial - #12 by system - Sensors - Arduino Forum