Can't password protect specific url in CodeIgniter - .htaccess

Question

I need to protect a specific route/url with password on my codeigniter site.
Base url looks like this:
https://staging.mysite.com/site-name
I want to protect this url with a password using .htaccess
https://staging.mysite.com/site-name/export
Routes looks like this
$route['export']['get'] = 'ExportController/index';
$route['export']['post'] = 'ExportController/export';
I've tried many different answers for similar problems but I just can't get it to work properly,
either password is asked everywhere, or it isnt asked at all.
Here is my .htaccess
RewriteEngine on
<IfModule mod_rewrite.c>
RewriteEngine on
RewriteCond %{REQUEST_FILENAME} !-f
RewriteCond %{REQUEST_FILENAME} !-d
RewriteRule ^(.*)$ index.php/$1 [L,QSA]
</IfModule>
SetEnvIfNoCase Request_URI ^/export SECURED
AuthName "Restricted Area"
AuthType Basic
AuthUserFile "/home/something/path/to/.htpasswd"
AuthGroupFile /
Require valid-user
Satisfy any
Order Allow,Deny
Allow from all
Deny from env=SECURED
I think that the problem might be in this part:
SetEnvIfNoCase Request_URI ^/export SECURED
Because I just cant target the url I want, here is some other things I've tried
SetEnvIfNoCase Request_URI ^/site-name/export SECURED
SetEnvIfNoCase Request_URI "^/site-name/export" SECURED
SetEnvIfNoCase Request_URI "^/export" SECURED
SetEnvIfNoCase Request_URI ^(.*)/export SECURED
SetEnvIfNoCase Request_URI .*/export$ SECURED
SetEnvIfNoCase Request_URI .*/export SECURED
Edit:
I've also tried to protect the entire ExportController with like this, password prompt does not appear anywhere.
<Files ExportController>
AuthName "ExportController"
AuthType Basic
AuthUserFile "/home/something/path/to/.htpasswd"
require valid-user
</Files>

Answer 1

I ended up doing this:
<If "%{THE_REQUEST} =~ m#^GET /site-name/export#">
AuthType Basic
AuthName "Password Required"
AuthUserFile /home/path/to/.htpasswd
Require valid-user
</If>
<IfModule mod_rewrite.c>
RewriteEngine on
RewriteCond %{REQUEST_FILENAME} !-f
RewriteCond %{REQUEST_FILENAME} !-d
RewriteRule ^(.*)$ index.php/$1 [L,QSA]
</IfModule>