I tried your code, it does exactly what the manual walkthough does. "Associated Press, The" returns only a "No Match, please try sources". In your code you then try to click on the next form list item, not the results popup. The autosuggest popup is dynamically populated at the top of your html page positioned under the input form. The following code does select the first option on your drop down.
@Test
public void test() throws InterruptedException {
WebDriver driver = new ChromeDriver();
driver.get("http://www.lexisnexis.com/hottopics/lnacademic/?verb=sf&sfi=AC00NBGenSrch");
driver.switchTo().frame("mainFrame");
WebDriverWait waitst = new WebDriverWait(driver, 0);
waitst.until(ExpectedConditions.visibilityOfElementLocated(By.name("sourceTitle")));
WebElement sourceTitle = driver.findElement(By.name("sourceTitle"));
sourceTitle.sendKeys("Times");
Thread.sleep(5000);
WebElement firstItem = driver.findElement(By.xpath("//*[@class='auto_suggest']/*[@class='title_item']"));
firstItem.click();
}