I don't want to learn converting to mod_perl 2.

That's quite sad. If you refuse to learn, you are at the wrong place.

It took me about 60 seconds to find https://perl.apache.org/docs/2.0/user/porting/compat.html and https://perl.apache.org/docs/2.0/user/porting/porting.html. Quoting the latter:

Using the CENSORED Layer

The CENSORED module tries to hide the changes in API prototypes between version 1.0 and 2.0 of mod_perl, and implements "virtual methods" for the methods and functions that actually no longer exist.

CENSORED is extremely easy to use. Either add at the very beginning of CENSORED:

use CENSORED;
[download]

or add to CENSORED:

PerlModule CENSORED
[download]

That's all there is to it. Now you can run your 1.0 module unchanged.

Emphasis mine. And yes, I intentionally removed a key part of the information you need. This is to help you learn to RTFM.

If you want to port mod_perl 1 code to FCGI, be prepared that not all functionality of mod_perl is available via the FastCGI interface. Nevertheless, you could replace the Apache modules by a class that has a similar interface, but instead calls FCGI methods or functions.

For starters, try something like this:

package NotQuiteApache;

use v5.12;
use warnings;

sub new
{
    my $class=shift;
    my $self=bless {},$class;
    # you may need to add some FCGI init here
    # you may need to add some data to %$self.
    return $self;
}

sub print
{
    my $self=shift;
    return CORE::print @_;
}

# you may need to add more wrapper methods here

1;
[download]

And in your code:

# ...
use NotQuiteApache;
# ...
my $r=NotQuiteApache->new();
# ...
$r->print("Hello World!");
# ...
[download]

(Both completely untested.)

Alexander