As far as my understanding is concerned, communication skills means how you interact and present yourself to your prospective employer or someone else. Communication skills are tested right from the moment you mark your presence with the employer. For instance, if you are appearing for interview, a firm handshake with the officials with a smiling face therein would signal good communication skills, the tone in which you interact, the words or combination of words that you use, your hand, head and shoulder movements, more importantly the facial expressions, these all constitute the communication skills. Not just that, your writing skills are also an important constitutent of your communication skills. Despite being good in your vocabulary or word power, not knowing where and how to use the words will ruin you out of your chances. And I am of the opinion that all this combined with bit of controlled aggression and attitude really comes handy.
Don't know what the market demands from a fresh qualified CA, but on the basis of experience as a budding CA with a couple of leading corporations in their respective sectors, I can say that you are expected to have a command upon the basics in general with bit of sound understanding of the domain that you are being hired for. Sound positive attitude, zeal to learn and team working skills are all that are expected of a fresher CAs and a CA is generally equipped with these traits. Not to forget the general traits that the employees are generally expected to possess.
Its important that you justify your CV and live up to every single word written in it and not otherwise.
I don't think that the issues concerned are any rocket science, its only a matter of right application of the traits that we have acquired or developed, all courtesy to our professional curriculum(s) and premature professional lives as an articled trainee.