Hello,
You do it wrong. This line currentMillis = millis(); should be startMillis = millis();, and currentMillis = millis(); should be at the top of loop()
Then, the code to check if time has elapsed should be:
if (startMillis != 0 && currentMillis - startMillis >= period)
{
motor2PWM= 0;
motor3PWM = 0;
showParsedData();
startMillis = 0;
}