Few Tweaks

Hi Rohith Nuguri.

1. Remove much of the white space and make the website look like the picture below.
– To resolve this issue you can go to Dashboard / Appearance / Customize / General Settings, and add this code below to Custom wp_head() code section:

<style>
@media(min-width: 980px){
 .site-header #header {
 margin-top: 0;
 background: url('LINK BACKGROUND') no-repeat;
 }
 .site-header #header #branding h1 {
 margin-bottom: 0;
 }
 .site-header #branding a {
 height: 150px;
 }
}
</style>

– Change ‘LINK BACKGROUND’ by your image link.

2. Change color of menu bar to black and menu items to white.
– To resolve this issue you can go to Dashboard / Appearance / Customize / General Settings, and add this code below to Custom wp_head() code section:

<style>
@media(min-width: 980px){
 .navbar,
 .navbar .nav .menu-parent-item:hover>.sub-menu,
 .navbar .nav .menu-parent-item:hover .sub-mega-wrap {
 background: #000;
 }
 .navbar .nav .menu-parent-item:hover>.sub-menu,
 .navbar .nav .menu-parent-item:hover .sub-mega-wrap,
 .navbar .nav .menu-item-object-category .sub-mega-wrap .subcat li {
 border-color: #222;
 }
 .navbar .nav li a {
 color: #fff !important;
 }
 .navbar .nav li a:hover {
 color: #ee3224 !important;
 }
 .navbar .nav .current_page_item > a,
 .navbar .nav .current-menu-item > a,
 .navbar .nav .current-post-ancestor > a,
 .navbar .nav .current-menu-parent > a,
 .navbar .nav .current-menu-ancestor > a {
 color: #ee3224 !important;
 }
 .navbar .nav li {
 border-color: #222;
 }
 .navbar .nav .menu-item-object-category .sub-mega-wrap:before {
 background-color: #222;
 }
}
</style>

3. Remove the under navigation and bring the content area closer to the header like in the picture.
– To resolve this issue you can go to Dashboard / Appearance / Customize / General Settings, and add this code below to Custom wp_head() code section:

<style>
.ie8.desktop .wrap-navigation {
 float: none;
 width: 100%;
}
.ie8.desktop #under-navigation {
 display: none !important;
}
.ie8.desktop .main-navigation {
 margin-bottom: 20px;
}
@media(min-width: 980px){
 .main-navigation {
 margin-bottom: 20px;
 }
 .desktop #under-navigation {
 display: none !important;
 }
}
</style>

4. Move the search bar to the top or into the content area.
– To resolve this issue you can go to Dashboard / Widgets, drag and drop widget search  to Main sidebar, Category sidebar, Single post sidebar, Blog sidebar.

5. In IE8, the logos get truncated and the menu dropdowns do not fade away.
– To resolve this issue you can open file functions.php in Your iste / wp-content / themes / your theme > functions.php – Then replace following code – form line 721 to line 737:

<?php if( ! empty( $logo_custom_image ) ) : ?>
.site-header #branding a {
 background-image: url(<?php echo $logo_custom_image; ?>);
}
<?php endif; ?>
<?php if( ! empty( $dw_logo_small_image ) ) : ?>
#colophon.dark #site-info .small-logo {
 background-image: url(<?php echo $dw_logo_small_image; ?>);
}
@media ( max-width: 979px ) {
 .wrap-navigation .small-logo {
 background-image: url(<?php echo $dw_logo_small_image; ?>);
 }
}
<?php endif; ?>

By 

<?php if( ! empty( $logo_custom_image ) ) : ?>
.site-header #branding a {
 background-image: url(<?php echo $logo_custom_image; ?>);
}
.ie8 .site-header #branding a {
 filter: progid:DXImageTransform.Microsoft.AlphaImageLoader(src='<?php echo $logo_custom_image; ?>',sizingMethod='scale');
 -ms-filter: "progid:DXImageTransform.Microsoft.AlphaImageLoader(src='<?php echo $logo_custom_image; ?>',sizingMethod='scale')";
}
<?php endif; ?>
<?php if( ! empty( $dw_logo_small_image ) ) : ?>
#colophon.dark #site-info .small-logo {
 background-image: url(<?php echo $dw_logo_small_image; ?>);
}
@media ( max-width: 979px ) {
 .wrap-navigation .small-logo {
 background-image: url(<?php echo $dw_logo_small_image; ?>);
 }
}
.ie8 #colophon.dark #site-info .small-logo,
.ie8 .wrap-navigation .small-logo {
 filter: progid:DXImageTransform.Microsoft.AlphaImageLoader(src='<?php echo $dw_logo_small_image; ?>',sizingMethod='scale');
 -ms-filter: "progid:DXImageTransform.Microsoft.AlphaImageLoader(src='<?php echo $dw_logo_small_image; ?>',sizingMethod='scale')";
}
<?php endif; ?>

Hope this helps!