You can shoot the bottle with any gun you like and its way easier then doing it with a bow.
I would suggest doing it with the first rifle you get:
1. Play the story until you get the AK47 type of gun(trust me you will notice when you get it and fortunately you are in the Sowjet-Compound at this point)
2. Make sure to equip the rifle with
3. Find a bottle(there a lots of in the sowjet area where you currently are) and throw it into the air in an angle so you have a clear view at it while its falling down.
4. After throwing Lara will automatically switch to the rifle.
5. Aim and shoot it out of the air.
Might take a few tries to get used to it, but since you use a rifle you can burst shots or even go full auto.
Now you're a real bottle-shooting expert
If you have any critic feel free to leave a message. I will try to improve it.