You do not need two connections if both databases are located on the same mysql server and you access them as a unique user.
You also do not need to choose a database.
Just use the database name as a prefix when specifying tables:
<?php
mysql_connect("localhost","root","pass") or die(mysql_error());
$query = "SELECT * FROM asteriskcdrdb.cdr";
$result = mysql_query($query)or die(mysql_error());
var_dump($result);
$query2 = "SELECT * FROM pj8v2.tb_did_avalaible";
$result2 = mysql_query($query2)or die(mysql_error());
var_dump($result2);
?>
The real problem is in your code: there is only one active database, it should work as follows:
<?php
$conn1 = mysql_connect("localhost","root","passw0rd") or die(mysql_error());
$conn2 = mysql_connect("localhost","root","passw0rd",true) or die(mysql_error());
mysql_select_db("asteriskcdrdb",$conn1);
$query = "SELECT * FROM cdr";
$result = mysql_query($query,$conn1);
var_dump($result);
mysql_select_db("pj8v2",$conn2);
$query2 = "SELECT * FROM tb_did_avalaible";
$result2 = mysql_query($query2,$conn2);
var_dump($result2);
?>
, , .