Place chicken breasts in the bottom of the Instant Pot. Add carrots and rice on top. Pour chicken broth on top of everything, making sure the rice is covered in liquid.
Place lid on top and move valve to "sealing" position.
Press "MEAT/STEW" or "POULTRY" button and set timer for 20 minutes.
Steam your broccoli separately.
When Instant Pot is finished cooking, do a quick release.
Remove chicken breasts from Instant Pot and shred using 2 forks. Add chicken back to pot and mix well.
Add in your broccoli.
Divide food between 6 bowls and add desired amount of teriyaki sauce on each serving.
If desired, top each bowl with green onions and sesame seeds.