Searchbar not visible on phone/tablet in portrait mode

Yaa that’s how it works actually that’s why you should drop an search widget in one of your sidebar for mobile search purpose

If you want to display on the Phone/tablet, please follow the instruction below:
Firstly, follow the jetpack’s guideline in the Blog article on how to use Edit CSS here. http://cmspioneer.com/designwall/blog/using-jetpack-custom-css-for-your-wordpress-site/ Then add the following code to Edit CSS

@media only screen and (max-width: 985px) { 
   #header .navigation-control {
        right: 40px;
    }
#header #searchform {
        display: block;
    }
}