To make sure that you will not fail in doing this, you can get loads of information from this article.
The first thing you need to do in restoring your family is by apologizing to her. This means that you are man enough to admit your mistakes in the past and to acknowledge them. Surely, your wife will appreciate your humility a lot and this will soften her heart. But if you think that this will instantly bring him back to your arms, you are mistaken because sometimes a simple sorry is not just enough.
A healthy communication is also a very important one because it can lead to the resolution of your problems. Why don't you invite her for a meet up in a romantic place? Your sincerity is the number one factor that is needed here so that she will agree to meet with you. You need to be as gentle as possible because if there would be harsh words, that would just stir up anger on both parties.
In this regard, the most important thing is your emotion management because a man who can handle emotions well can also handle the entire situation more. When you see that your conversation seems to go to nagging, just hold back because it could worsen the situation more. You should also not try to beg because you will appear as a very desperate and women don't like that.
With these information to get your ex wife back, may you do all things successfully.