The script you’re looking for is probably this: https://github.com/pimoroni/phat-beat/blob/master/projects/vlc-radio/phatbeatd/usr/bin/phatbeatd
It’s best left as-is, though, since it’s a fairly obtuse script not meant to be an editable example.
The relevant parts to understand are the socket interface for controlling VLC, which you can build into your script. Importing the phatbeat library wont work, since that’s just for reading buttons and doesn’t provide control over any of the software on your Pi.
import socket
import re
VLC_HOST = "127.0.0.1"
VLC_PORT = 9294
class VLC():
    def __init__(self, host="127.0.0.1", port=9294):
        self.host = host
        self.port = port
        self.current_stream = None
        self.current_state = None
        self.connecting = False
        self.socket = None
    def send(self, command):
        if self.connecting:
            return False
        print("Sending command: {}".format(command))
        command_string = command + "\n"
        if sys.version_info[0] >= 3:
            command_string = command_string.encode("utf-8")
        try:
            self.socket.send(command_string)
        except socket.error:
            print("Failed to send command to VLC") 
            if self.connect():
                self.send(command)
    def recv(self, length):
        value = self.socket.recv(8192)
        if sys.version_info[0] >= 3:
            value = value.decode("utf-8")
        return value
    def communicate(self, command, response_length=8192):
        self.send(command)
        return self.recv(response_length)
    def get_current_stream(self):
        self.send("status")
        status = self.recv(8192)
        result = re.search("input:\ (.*)\ ", status)
        state = re.search("state\ (.*)\ ", status)
        if state is not None:
            self.current_state = state.group(1)
        if result is not None:
            self.current_stream = result.group(1)
        else:
            self.current_stream = None
        return self.current_stream
    def connect(self):
        if self.connecting:
            return
        self.connecting = True
        if self.socket is not None:
            self.socket.close()
        self.socket = socket.socket(socket.AF_INET, socket.SOCK_STREAM)
        for attempt in range(10):
            try:
                print("Attempting to connect to VLC on {host}:{port}".format(host=self.host, port=self.port))
                self.socket.connect((self.host, self.port))
                print("Connection successful!")
                self.connecting = False
                return True
            except socket.error:
                time.sleep(1)
        print("Connection failed!")
        self.connecting = False
        return False
vlc = VLC(host=VLC_HOST, port=VLC_PORT)
if vlc.connect():
    # Your setup code here
And once all of the above has set up a connection to VLC, you can use the following commands to control it:
vlc.communicate("voldown") # Turn the volume down one step
vlc.communicate("volup") # Turn the volume up one step
vlc.communicate("next") #  Next track
vlc.communicate("prev") # Prev track
vlc.communicate("pause") # Pause/Play
Note: To paste indented code, surround it with three backticks:
```
Like so!
```