Personally I like the new dialer that searches everything. I have a Nexus 5 running 4.4.2 - which should closely match your motorola phone experience. HTC tends to include their versions of certain apps so you can't always compare. However the beauty of Android is if you don't like the "stock" way of doing things you can use a 3rd party app to replace almost any function.

Go Contacts Pro (free) can do what you need: https://play.google.com/store/apps/d....jiubang.gopim