Multiple MPU6050 Sensors on One Arduino

Module seems to have a 3.3volt regulator (5-pin chip), but no level shifters on the I2C and address lines.
You might already have damaged the module(s) by connecting it to a 5volt processor.

The SDA and SCL lines have 2k2 resistors, so a combined pull up resistance of 2200/14 = 157 ohm.

I think the easiest way to solve this is with two translating (level shifting) I2C muxers.

If you go that way, you can also use a much smaller Arduino Nano/ProMini.
Leo..