Plants for ground cover

Hi,

New to the forum, and was hoping to get some advice. At our home, we have a hill right behind our pool, and it's mostly brown with dirt. We've recently put in some young plants, but I'm hoping to find some plants that provide more ground cover.

Here are some pictures to give you a better sense of things:

https://www.dropbox.com/s/5l2hclb8tf1hv8q/2016-05-22%2013.29.13.jpg?dl=0 

https://www.dropbox.com/s/sewznb3o5p50vt8/2016-05-22%2013.29.25.jpg?dl=0

I'm looking for something that is consistently green, and I can water using a drip system (e.g. has a single base).

A good example of this is the plant in the middle of the first picture. It's always green, and has extended down the hill a fair amount. I'm open to having more of these put in, I just don't know what type of plant it is.

Also, I do plan on filling in some trees (we had some beautiful Japanese maples that died during construction). If anyone knows that type of tree this is, I'd love to have it put it as well:

https://www.dropbox.com/s/cc50bu71zl6wivb/2016-05-22%2014.55.18.png?dl=0 

Thanks in advance!