The polarity of your LED is shown upside down (the triangle is positive and the line is negative) and it is missing a series resistor to limit the current and prevent destruction of the LED and the 555. The LED with its series resistor should connect between pin 3 of the 555 and GND, not to Vcc. R2 has no resistance shown.
If you connected the LED polarity correctly and without the important series resistor then the 555, LED and battery must be replaced.
Your circuit is completely different to the original monostable circuit. When the original circuit is triggered with a short duration pulse of light, it turns on the LED and Piezo beeper tor a timed duration. The LDR must be in the dark for the timer to turn them off.
The LDR is supposed to trigger pin 2 when the LDR has light and it drives pin 2 to near GND. When pin 2 triggers the 555 the pin3 output goes near Vcc and pin 7 is turned off.
Pin 6 should connect to pin 7 and have a capacitor to GND and a resistor to Vcc so pin 7 can discharge the capacitor before the LDR triggers pin 2, then when the resistor charges the capacitor to near Vcc the 555 turns off the LED and Piezo beeper. So the 555 circuit is a triggered timer.
Please read the datasheet of an LM555 or NE555.
You are using the 555 as a simple on-off single transistor.
If you connected the LED polarity correctly and without the important series resistor then the 555, LED and battery must be replaced.
Your circuit is completely different to the original monostable circuit. When the original circuit is triggered with a short duration pulse of light, it turns on the LED and Piezo beeper tor a timed duration. The LDR must be in the dark for the timer to turn them off.
The LDR is supposed to trigger pin 2 when the LDR has light and it drives pin 2 to near GND. When pin 2 triggers the 555 the pin3 output goes near Vcc and pin 7 is turned off.
Pin 6 should connect to pin 7 and have a capacitor to GND and a resistor to Vcc so pin 7 can discharge the capacitor before the LDR triggers pin 2, then when the resistor charges the capacitor to near Vcc the 555 turns off the LED and Piezo beeper. So the 555 circuit is a triggered timer.
Please read the datasheet of an LM555 or NE555.
You are using the 555 as a simple on-off single transistor.