Using what I provided above, replace the App.HTMLHeader content with this to combine everything and remove all borders and backgrounds:
<style>
.borderlessTable,
.borderlessTable table,
.borderlessTable table td,
.borderlessTable table th,
.borderlessTable table tr,
.borderlessTable .dataTables_scrollHead,
.borderlessTable .dataTables_scrollBody {
border-color: transparent !important;
background-color: transparent !important;
background-image: none !important;
}
</style>
Comparison with a red rectangle behind both ListBoxes: