Every Google Apps user has a primary address for signing in to their account and receiving mail. If a user wants another address for receiving mail, you can give them an email alias.
For example, if mail@lakkireddymadhu.com wants to also receive the email sent to sales@lakkireddymadhu.com, create the alias sales@lakkireddymadhu.com. Mail sent to either address then appears in mail@lakkireddymadhu’s Gmail inbox.
You can add up to 30 email aliases for each user.
Through Admin login to G Suite will add alias email ID to the original user email ID.
Log on to your domain in G Suite -> Users -> Click on which user ID you want to add alias Account -> Aliases -> Add an alias -> click on Save ( Same sequence given below images)
Mail sent to either address then appears in mail@lakkimadhu’s Gmail inbox.
If you received any mail to the alias ID sales@lakkireddymadhu.com and you want to reply to that from sales@lakkireddymadhu.com instead of mail@lakkireddymadhu.com , then follow the below given procedure.
Sign into your Google Apps email (email@lakkimadhu.com)
Click the gear in the top right 
- Click on the -> Settings -> Accounts -> Add another email address you own
- click on Add alias email address.
- In the Email address field, enter your name and alternate email address.
- Click on Next Step. It saves automatically.
5. You can view both ( primary and alias email IDs) in the Settings. Image is given below
Now Click on Compose, below given pop-up opens.
Click on the From tab ( arrow mark shown- drop down)
You can view both the Ids, select sales@lakkireddymadhu.com to send mail from the Alias email ID / reply mail.
Happy computing 🙂
Source: Google
lakkireddymadhu 
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Thnak you Joey
This is great, so useful, and thoroughly well explained!
I appreciate the detail and the effort to document and highlight every single step – good effort!
Just a tiny little suggestion: add a date at top of post – maybe title? – for user to make sure it may still be up-to-date (you know how these things change so fast!). This was indeed up-to-date.
Great post, thanks!
Thank you for your suggestion . Date of the post you can view belwo the title. If it is too old, as you said , the solution won’t work as the options might be changed.