The easiest way to do that would be to learn now to use Adobe Character Animator. You just have to design layered artwork so that the different sounds are on different layers.
There are also manual techniques that require familiarity with the Distortion and masking tools in AE and a knowledge of time remapping. You can also use audio levels to trigger movement. Using that technique you could divide the image into upper lip, lower lip and then use expressions to drive distortion tools of position. The right technique depends on the look you are after. If you want to just use those lips it's going to be pretty difficult to get an "oh" sound or a "b" as in "oh Boy" that looks natural.
Are you new to AE? What you are wanting to do will require some basic skills in AE and probably Photoshop or Illustrator.
Is this lips-only? Or the inside of the mouth, too? Bear in mind the tongue plays a crucial role in realistic-looking speech. Look in a mirror as you make a "th" sound, as in the word, "this". Or the "g" sound as in, "garbage".
There's a lot more to making speech look right than simply animating a pair of lips.