I’ve seen posts of Instagram shots in my Facebook. It’s a filter in the iPhone that gives you a retro effect..somewhat washed out. But you can achieve a similar look even without an iPhone.
Thanks to Photoshop.

Me and my baby.

Her stuffed toys.
See?

Click here if you want to check  the free actions I downloaded.

I just added grunge borders from Shadow House Creations.

You can always tweak the actions according to your preference.

Have fun with editing your photos!