Can I get the reward of an offer in Microsoft Rewards on Xbox if it appeared two days after...

You can try contacting Microsoft Rewards support via the contact link at the bottom of the Rewards site, but they will typically only award you if the purchase was made after the punchcard starts.

The way I was able to get it to register is I went to the rewards app right on the xbox, Highlighted the one that I was trying to get to register. Log in online from there after a couple of tries doing this I was able to get the check marks. I'm
just waiting for the 10 days one now.

I also have completed all but the “Ten(10) log-on” in the “Swing Through the Kingdom” Microsoft Rewards / Xbox Rewards points reward. My question / concern and it appears other people’s concern is in nowhere in the Microsoft Rewards dashboard page,
Xbox Rewards dashboard page, or “Swing Through The Kingdom” page is there an indicator to show the person participating in this reward is how many days of the “X of 10 Day’s” have I been credited with completing. In the past when Microsoft Rewards has had
rewards that required you to log into a particular page for a given number of days there has been an countdown indicator (such as 6 of 10 day). A easy to see example would be something similar to the Daily Rewards streak counter. After all without a indicator
of some kind how does anyone participating in this rewards offer know if they are accomplishing the task correctly especially with the generally poor documentation that has accompanied the “Swing Through The Kingdom” rewards points offer.

That's actually a Microsoft Rewards program offer, not an Xbox Rewards program offer. The two programs are different. For help with the Microsoft Rewards program, you would need to contact their customer support via their redemption page.

Hello pwnerplayer,

From the FAQ for that offer:

When and how will I receive my Reward?

Once you’ve completed the offer by completing 5 new achievements in the game, come back to the FREEdom Rewards page and sign in to your Xbox Live Rewards account. You should see a button that appears by the completed offer that will prompt you to redeem
your Reward and that will take you to a page where all of your prize tokens will be listed. Please note that it can take up to 96 hours after the offer has been successfully completed for it to appear on the site.

For future reference, it can take up to 96 hours for us to receive and process new data. Since your fifth achievement since registering for the Rewards program was only made a few days ago, please allow for more processing time before being Rewarded.

That's referring to the Destiny punchcard offer through the Microsoft Rewards program (preorders did not count for that offer, you had to purchase the game after release), not the Xbox Rewards program. The two programs are different. For the Xbox Rewards
program, the only offer to receive credits for Destiny was the Games on Demand punchcard which involved preordering 3 games.

If you want to contact customer support for the Microsoft Rewards program, you would need to do so through their contact link on their redemption page.