So it looks like the Powerport+5 has a max output of 60W, with a max of 29W through the USB-C port (or at least that’s what Anker states on the site). To quote it directly:
USB-C with Power Delivery
Charges the new MacBook at full 29W speed-almost twice as fast as a standard USB-C charge-leaving you with more time for you.
29W sounded a bit low, so I did a bit of googling and found this on Wirecutter:
Anker’s PowerPort+ 5 is larger than our pick or the charger that comes with most laptops, so it isn’t ideal for travel, but if you’re looking for something to leave at your desk for full-time charging, it’s the way to go. Offering 30-watt USB-C charging, this model isn’t as powerful as our top pick, but it is enough to keep Apple’s 13-inch MacBook Pro and other 13-inch laptops charged while you’re using them, and with four USB-A charging ports, it can power all your gadgets at the same time.
So, to answer your question: it should charge your Macbook Pro (so long as it’s the 13-inch model - the article I linked doesn’t say anything about the 15-inch), but it won’t charge it as fast as the OEM charger. As far as cables go, you should be fine with OEM or Anker.
Hope that helps!