Not everyone wants to share on their personal Facebook page.  If you want to share on your business page or a group page, click the Facebook icon, but make sure you switch one setting before completing the post.

When you're ready to share, you want to click on the Share to News Feed or Story button and choose Share in a group or Share on a Page you Manage.  If you manage more than one FB business page, you'll be able to switch between them at this point.
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Note: If you are having trouble at this point it might be because you are not logged in to Facebook on your web browser.

After that you can Post to Facebook and it will post straight to your business page or group, depending on your selection.