Arduino Obstacle Avoiding Shield controlor motor L293D
To complete @chrisl answer: Yes you need these pins to make the same robot as in the video. You can order them online and solder them (if you know how to solder and if you have the soldering material). Be careful with soldering ;)

For your information, the pins you circled in red are used to communicate with the Arduino pins A0 to A5, and provide +5V and GND. In the video, they are connected to the ultrasound sensor.

And please clarify what is your motor??? Do you mean the Shield motor driver? It is not the same. A shield is an eletronic board that you plug to your Arduino to do a specific task (control a motor, connect to wifi...). A motor driver is the electronic to control the motor. On your pictures, they are mainly the 3 components with 16 legs each.