Shortcode – Team Flag instead of Name

Good afternoon,
I am looking for help with shortcode [fp-match-scores]. I would like to have team flags instead of names (space reasons), but I couldn’t find a way how to do it.
I tried to edit code from shortcode_last_predictions, where it come datas from database to select also home_team_id and use him to get team_flag, but it didn’t happend, when I applied home_team_flag instead of original home_team.
I tried to use home_team_id instead of home_team and it gave me the team ID, so how I am able to change the function to get from home_team_id home_team_flag?

Thank you in advance.

/**From public static function shortcode_last_predictions( $atts )**/
$prefix = FOOTBALLPOOL_DB_PREFIX;
$sql = "SELECT p.user_id, p.match_id, p.home_score, p.away_score, home.flag AS home_team_flag
        FROM {$prefix}predictions p
        INNER JOIN {$prefix}matches m ON ( m.id = p.match_id )
        INNER JOIN {$prefix}teams home ON ( home.id = m.home_team_id )
        WHERE p.user_id IN ( {$user_set} )
        ORDER BY m.play_date DESC, m.id DESC";
$rows = $wpdb->get_results( $sql, ARRAY_A );

$output .= '<div class="fp-last-predictions">';

$matches = $pool->matches;
$prev_match = $match = 0;

foreach( $rows as $row ) {
    $user = $pool->user_name( (int) $row['user_id'] );
    $match = (int) $row['match_id'];
    $home_team_id = (int) $row['home_team_id'];
    $away_team_id = (int) $row['away_team_id'];
    $home_team_flag = Football_Pool_Utils::xssafe( $row['home_team_flag'] );
    $home_team = Football_Pool_Utils::xssafe( $matches->matches[(int) $row['match_id']]['home_team'] );
    $away_team = Football_Pool_Utils::xssafe( $matches->matches[(int) $row['match_id']]['away_team'] );
}

/**From shortcode_scores edit home_team to home_team_flag**/

		// only continue if we have some data to show
		if ( count( $the_users ) > 0 && count( $the_matches ) > 0 ) {
			$output .= '<div class="shortcode fp-match-scores">';
			$output .= '<table class="shortcode fp-match-scores"><thead><tr>';
			$output .= '<th class="player-name"></th>';
			foreach ( $the_matches as $match ) {
				if ( $pool->matches->always_show_predictions || $match['match_is_editable'] === false ) {
					$output .= sprintf( '<th class="match"><div class="break"><span>%s - %s</span></div>'
						, Football_Pool_Utils::xssafe( $match['home_team_flag'] )
						, Football_Pool_Utils::xssafe( $match['away_team'] )