Pagination not working on home page

I had faced the same problem. And finally, I solved the problem.
Getting the current Pagination Number

<?php  $paged = (get_query_var('paged')) ? get_query_var('paged') : 1;  ?>

For getting the current pagination number on a static front page (Page template) you have to use the ‘page’ query variable.

<?php  $paged = (get_query_var('page')) ? get_query_var('page') : 1;  ?>

So you should use the get_query_var('page') instead of get_query_var('paged').
You can use is_front_page() function in if condition for frontpage query. Just as like-

<?php
if(is_front_page()) {
    $paged = (get_query_var('page')) ? get_query_var('page') : 1;
}else {
    $paged = (get_query_var('paged')) ? get_query_var('paged') : 1;
}

Credit goes here