Hi, my name is Hilal.
if the website is build with bootstrap, it should detects the screen size the render it for mobile. I can think of 2 reasons why would you ask for this
1- there is missing code on the header that do not make bootstrap works as it should be
2- you are not happy with way the mobile version of the website look and feel.
on both situation I could has the mobile features like reference site. btw, the mobile site would be scale down of your current website. I mean, it would have all the main sections but some of them page parts would be hidden as page as the screen size is small.