Two different inner shortcode under shortcodes or multiple nesting of inner shortcodes

Yes, you can keep nesting shortcodes. Just keep using the do_shortcode() until the deepest level is reached. https://codex.wordpress.org/Shortcode_API#Nested_Shortcodes

So you can do this,

[container]
  [other_column class="extra-class"]
    [content]
      col 1
    [/content]
    [another]
      col 1-2
    [/another]
  [/other_column]
  [column]
    [another]
      col 2
    [/another]
  [/column]
[/container]

To achieve output like this,

<div class="container">
  <div class="other-column extra-class">
    <div class="content">
      col 1
    </div>
    <div class="another">
      col 1-2
    </div>
  </div>
  <div class="column">
    <div class="another">
      col 2
    </div>
  </div>
</div>

Provided you have shortcode functions something like this. I threw in an attributes example, should you need them.

function container_shortcode($atts = array(), $content = null) {
  return '<div class="container">' . do_shortcode($content) . '</div>';
}
add_shortcode( 'container', 'container_shortcode' );

function column_shortcode($atts = array(), $content = null) {
  return '<div class="column">' . do_shortcode($content) . '</div>';
}
add_shortcode( 'column', 'column_shortcode' );

function other_column_shortcode($atts = array(), $content = null) {
  $defaults = array(
    'class' => '',
  );
  $atts = shortcode_atts( $defaults, $atts, 'other_column_shortcode' );
  $class = (! empty($atts['class']) ) ? 'other-column ' . $atts['class'] : 'other-column';
  return '<div class="' . esc_attr($class) . '">' . do_shortcode($content) . '</div>';
}
add_shortcode( 'other_column', 'other_column_shortcode' );

function content_shortcode($atts = array(), $content=null) {
  return '<div class="content">' . $content . '</div>';
}
add_shortcode( 'content', 'content_shortcode' );

function another_shortcode($atts = array(), $content=null) {
  return '<div class="another">' . $content . '</div>';
}
add_shortcode( 'another', 'another_shortcode' );