Basically, when we are sharing our Instagram photos on twitter, then instead of embedded photos, the app only share a link to view the photo on Instagram website. So to view the photo, you have to follow manually method, click on the link and then wait for the photo, So if you want to directly embed instagram photos to twitter feeds, then land on correct page.
From 2012, Instagram doesn’t support twitter cards, As you know, Twitter cards helps to attach or embed photos, videos, news story etc on your tweets, but wired writer michael calore shared a simple hack to directly embed photos on tweets, using a service called IFTTT.
Embed Instagram Photos on Twitter
IFTTT(If this, than that) is an online service that helps to automatically triggered an action, when any specific actions happens. So to perform any specific triggers IFTTT lets you to create recipes.
An IFTTT user djuiceman created a recipe that allows you to post your instagram pictures directly to tweets. So to use this, go to the recipe page, and activate your Instagram and Twitter account and then click on Use Recipe button.
From now, whenever you upload a new photos on your instagram account, the same photo will auto post on your twitter account.
How to Embed Instagram Photos on Twitter