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Use the state machine model shown in BlinkWithoutDelay

unsigned long minInterval = 60000UL; // Interval for minutes in milliseconds
unsigned long secInterval = 1000UL;  // Interval for seconds in milliseconds
unsigned long prevMinMillis = 0UL;   // Holds the timestamp of the last time Minute() was called
unsigned long prevSecMillis = 0UL;   // Holds the timestamp of the last time Second() was called

void setup()
{
 lcd.begin(16, 2);
}

void loop()
{
  unsigned long currentMillis = millis();
  
  if (currentMillis - prevMinMillis > minInterval)
  {
    prevMinMillis = currentMillis;
    Minute();
  }

  if (currentMillis - prevSecMillis > secInterval)
  {
    prevSecMillis = currentMillis;
    Second();
  }
  
}

With this example, Second() is called only when the difference between "now" and the last time it was called is greater than secInterval. Likewise for Minute().

[Note, the code above will not run as-is, but I assume you have initialized the LiquidCrystal library and assigned the pins as per your schematic.]