Disable local recipient check in Postfix

I'm a bit confused about the start of the question but in response to if it's "possible to disable local delivery (via Dovecot service) for this particular domain" this might help:

I think inside /etc/postfix/main.cf that if you're using virtual_alias_domains = me.com you.com then just removing the domain from that line will make Postfix look remotely for delivery if DNS and /etc/hosts etc doesn't tell it otherwise. Do a DNS lookup on that domain's MX records on the Server itself to see where it thinks the MX point.

postfix reload to reload the config should set it live if that's the case.

-edit-

I see what you're after.

Actually it's pretty easy from the Google side: Settings > Accounts > edit info for your outbound e-mail address and configure the settings for authenticated outbound SMTP (this will take a few attempts most likely to get used to how it's laid out).

Then add saslauthd to Postfix and run it over TLS to encrypt the login process so Google's webmail client logs in to be allowed to punt mail through your Server (and anyone with the login and password come to that). Here's a very clear HOWTO, adjust it to your version: Postfix SASL HOWTO

This also has the advantage of your mail appearing to come from your SMTP server directly so other than your MX mentioning Google, and adding SASL's package, nothing has actually changed.

Why doesn't the routing happen before the recipient existence check? Isn't there is way? When I route emails, I mean "The current Postfix doesn't handle anything and just forwards email to another server which is fully responsible for the config".

No, that isn't way postfix gonna works. Recipient existence checks and email routing was two different activities for postfix. Recipient existence checks was performed when accepting email. The process who performs it was smtpd. Email routing was performed when delivering email. The process who perform it was trivial-rewrite

In the comment, you mention that you use virtual delivery agent from postfix to delivering email. I'm gonna tell you that it possible to achieve no-redundant-information in postfix configuration. BUT you must change current postfix setup.

To achieve your goal, we must move all domains in virtual_mailbox_domain class to relay_domains class. Then using dovecot LDA to deliver email in the right mailbox. Relay domains class has special parameter called relay_recipient_maps to checks the recipient existence.

The good news is you can use relay_recipient_maps together with transport_maps. Why? Because relay_recipient_maps only used to check existence of user. The value/right hand side string in transport_maps was ignored when recipient existence check. Snippet from man postconf.

Optional lookup tables with all valid addresses in the domains that match $relay_domains. Specify @domain as a wild-card for domains that have no valid recipient list, and become a source of backscatter mail: Postfix accepts spam for non-existent recipients and then floods innocent people with undeliverable mail. Technically, tables listed with $relay_recipient_maps are used as lists: Postfix needs to know only if a lookup string is found or not, but it does not use the result from table lookup.

For the completeness, here the postfix configuration for this setup. Credits to sebokopter for the idea.

#main.cf
# rename virtual_mailbox_domains to relay_domains
relay_domains = mydomain.example.com
# put the parameter value of virtual_mailbox_maps AND transport_maps parameter
relay_recipient_maps = hash:/my/virtual_mailbox_maps, hash:/my/transport_maps

transport_maps = hash:/my/transport_maps
relay_transport = dovecot:

#master.cf
dovecot   unix  -       n       n       -       -       pipe
    flags=DRhu user=vmail:vmail argv=/usr/local/libexec/dovecot/dovecot-lda -f ${sender} -d ${recipient}