We are planning to use bitbucket as source code repository as well remote repository for our maven based projects. I have created a repository on bitbucket something like below:
How can I push my company specific project jars into the above remote repository using the project specific pom.xml?
You can't. shouldn't in my opinion.
Bitbucket is not intended to be a maven repository. Trying to get maven to deploy artifacts to BitBucket to it is just wrong may contravene Atlassian's terms of use. On the other hand it might be fine.
You either need to should instead deploy to your own local repository or a public one.