Apliiq's app does support sending tracking information to Etsy stores. However, unfortunately, Etsy has made the decision to block some apps and stores from posting shipment tracking automatically to your store.
You can see more information on Etsy's decision here.
The Apliiq App Will Mark Orders As Shipped & Attempt to Post Tracking
The Apliiq app is setup to use the Etsy's createReceiptShipment, endpoint to ensure tracking information is provided to your Etsy Store's end customers. However, Etsy intentionally blocks apps from accessing this information. So in the meantime, you will need to copy tracking information from your Apliiq account and post it into your Etsy store.
What you can do!
We recommend reaching out directly to Etsy and let them know about your store's situation. We recommend being very clear and polite and conveying the following information, and we've drafted the below email to make it as easy as possible to reach out to Etsy
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Subject: Make the Apliiq App a Preferred Etsy Partner
->I am using a commercial app: Apliiq - Print On Demand for your Etsy store, and I want to use this app because it supports key things that your store needs, like private labeling, sewing real labels, sewing real patches, and provides clothing options you cannot find anywhere else.
-> I am requesting that Etsy promote the app to be a preferred partner and to categorize the app so that it can automatically process my orders and post tracking for my orders and that I receive in my Etsy store.
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In the meantime...
Apliiq will email you tracking for each dropship order that we fulfill and you can add this tracking to your Etsy orders from within your Etsy account.