I have yahoo and gmail email account. With specific email search
criteria I want to foreword all email message  to my  another email
address.

Example:

I want to search all massage I received or sent    mark smith  
I ran a search in email account and I received 500 emails from mark or to mark. 

And then  I want to  forward all that email at one hit  to another
email account or another file
Or to pop all that email (only with mark name) to outlook or to gmail 
or to another file.
In short I want to filter specific emails with specific search
criteria, for last few year and forward all that email to another
account

Gmail does not support forwarding of multiple selected mails like
that, however there are other programs that does.
Outlook express has two ways of doing this.

First you need to get the mails from Gmail to Outlook Express.

Log in to your Gmail account, click on "Settings", then "Forwarding and Pop".
Under "Pop Download", select "Enable POP for all mail (even mail
that's already been downloaded)".
Click Save Changes

To set up your Outlook Express to receive your Gmail messages, go to
this page: http://mail.google.com/support/bin/answer.py?ctx=%67mail&hl=en&answer=12103
IMPORTANT! Do not start receiving your mails just yet!

Now to forward the mails:

The first method is to simply selecting multiple
mails(shift/ctrl+click) in the inbox, then right click and select
"Forward".
This sends all the mails as attachments in one big mail.

The other one, is to set up a forwarding rule.
A Google search led me to this very nice guide on how to perform that task:
http://www.digalert.org/pdfs/emailrules.pdf
With a forwarding rule, Outlook Express will automatically forward the
mails, as it recieves them. You can try this out before you start
receiving mails from your Gmail account.

Both of these methods require Outlook Express to recieve ALL mails on
your Gmail account, so it might take some time.

Go to you GMail Inbox. Click Settings, then click filters, and finally
click on Create a new filter.
Then you must specify some details:
FROM: if you want to redirect all mail from (for example)
support@company.com you put support@company.com here and then click
next.
Then you will see the option: "Forward it to:", where you should
specify your second e-mail adress, to where you want to redirect the
mail.
You could also check other options like Delete it to delete after
redirection, or redirect only e-mails that has the words you specify
on first step.
It's also possible to put on your website something like this:
yourmailadress+support@gmail.com and everyone mail sent to it is
redirectes. You should put, in this case,
yourmailadress+support@gmail.com in "To:" box on the first step.
Sorry for my bad english.