This is what worked
(echo "Subject: $Mail_Subject";
echo "To:$Mail_List";
echo $Mail_Body;
uuencode $LOG_DIR/FileName1 'AttachmentDisplayName1';
uuencode $LOG_DIR/FileName2 'AttachmentDisplayName2') | sendmail -t $Mail_List
Hope this helps anyone who is looking for this kind of issue.