Enabling gzip compression in .htaccess file - .htaccess

Question

I am trying to enable Gzip compression as per the Google pagespeed suggestions as to how to get my site to load faster.
I have tried the suggested addition to my .htaccess file as found on https://varvy.com/pagespeed/enable-compression.html but it does not work correctly.
My current .htaccess file contains the following code. The rewrite rule works correctly as does the caching of the various file types. I am not experienced in working with the .htaccess file, so excuse me if I have made an obvious error. I have tried reading around the issue but can't seem to find the answer I need.
RewriteEngine On
RewriteCond %{HTTP_HOST} ^example.co.uk [NC]
RewriteRule ^(.*)$ http://www.example.co.uk/$1 [L,R=301]
## EXPIRES CACHING ##
<IfModule mod_expires.c>
ExpiresActive On
ExpiresByType image/png "access 1 month"
ExpiresByType text/css "access 1 month"
ExpiresByType text/html "access 1 month"
ExpiresByType text/x-javascript "access 1 month"
ExpiresByType image/x-icon "access 1 month"
ExpiresByType application/x-font-woff "access 1 month"
ExpiresDefault "access 1 month"
</IfModule>
## EXPIRES CACHING ##
<IfModule mod_headers.c>
<FilesMatch "\.(js|css|xml|gz|html|htm)$">
Header append Vary: Accept-Encoding
</FilesMatch>
</IfModule>
<ifModule mod_gzip.c>
mod_gzip_on Yes
mod_gzip_dechunk Yes
mod_gzip_item_include file .(html?|txt|css|js|php|pl)$
mod_gzip_item_include handler ^cgi-script$
mod_gzip_item_include mime ^text/.*
mod_gzip_item_include mime ^application/x-javascript.*
mod_gzip_item_exclude mime ^image/.*
mod_gzip_item_exclude rspheader ^Content-Encoding:.*gzip.*
</ifModule>

Answer 1

Looks like I needed mod_deflate instead of mod_gzip.
Added the following to my .htaccess file and it now compresses files correctly:
<FilesMatch "\.(html?|txt|css|js|php|pl)$">
SetOutputFilter DEFLATE
</FilesMatch>