Reynolds is seeking damages, including aggravated damages, and for Sharaz to foot the legal costs for the proceedings.
The former defence minister is also seeking an injunction to prevent Sharaz from re-publishing the tweets.
Sharaz, who got engaged to Higgins on New Year’s Eve, currently has his Twitter profile deactivated.
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Higgins formerly worked for Reynolds as a staffer and claimed she was raped by her co-worker Bruce Lehrmann in the then-defence minister’s parliamentary office.
Lehrmann pleaded not guilty when the matter went to trial.
9News has contacted Reynolds’ office for comment.