Need a bit of help with email application.

My situation is this - I have a "professional email" that I want to use and it forwards all email to my gmail account:
Example:
I give Foo@professional.com to others, they email that address and my bar@gmail.com gets the emails. I have configured the gmail to use Foo@professional.com as the sender and reply for all emails originating from that professional account. I also setup new outlook account to look at my gmail and also set the reply to addres to Foo@professional.com. I ran 4 scenarios and here's what I noticed:

1. Send email from Gmail from PC to yahoo gets the Foo@professional.com throughout. GOOD

2. Send email from Gmail on android phone to yahoo gets the Foo@professional.com throughout. GOOD.

3. Send email from outlook from PC to yahoo - the sender is bar@gmail.com but when replying to the sender it is the foo@professional.com account....

4. send from android regular stock email - the sender and the email address when replying are both bar@gmail.com...

So is there any way to fix 3 & 4 so that everything will look "professional"? I suppose it is not incredibly annoying to switch to Gmail on the android but on the PC i still prefer the usability of outlook though... I also thought about creating a new gmail account like First.LastX@gmail.com as well...

Thanks!

 

Problem is there is no server for Foo@professional.com. The email address is only forwarding. The way outlook gets mail is like:
User sends mail to Foo@professional.com -> forward immediately to bar@gmail.com -> receives by outlook who is listening on imap.gmail.com.

 

I did. the only thing it does is it allows me to give it a forwarding address where all the email sent to this foo@professional.com will be forwarded to.