One way to increase sales is to give each new customer a one-time offer.
A discount is a typical option but it can be a bonus or free gift too. As long as it's something valuable.
You could make the offer conditional too, in that it'll only apply on purchases over a certain amount which you set based on your Average Order Value. e.g. If your Average Order Value is $34, make the offer apply on orders over $45.
This offer might help to convert customers who are on the fence or comparing you to a competitor.
Something to try out over the next couple of months.
If you haven't installed Repeat Customer Insights yet, it's an easy way to get a detailed look at your customer behavior, including the different Average Order Values for new and repeat customers.
Get started getting more from your repeat customers
If you haven't signed up for Repeat Customer Insights, it's an easy process. Just give it your Shopify store url and it'll walk you through the setup, import, and analysis process automatically. No code needed.