You question is not worded very clearly. So I am going to assume that from this statement, 'I can fecth the value from a cookie which has only one value, but I am now using a cookie which has two values' that you are asking how to retrieve multi-valued cookies. Straight from the CGI::Cookie docs:

value()

    Get or set the cookie's value. Example:

            $value = $c->value;
            @new_value = $c->value(['a','b','c','d']);

    value() is context sensitive. In a list context it will return the
+ current value of the cookie as an array. In a scalar context it will
+ return the first value of a multivalued cookie.
[download]

So you'll need retrieve the data as a hash (array) - the same way you put it in.

UNTESTED

  my %cookie_value = $cookies{'LSRfm'.$type}->value;
[download]