If I'm undetstanding correctly:
URL1 - Anonymous users
-- Variation A
-- Variation B
URL2 - Remembered/Authenticated users
-- Variation A
-- Variation B
Your concern is that users seeing "URL1 Variation A" are switched to variation B when they log in?
Solution: This is an A/B Test with two URLs for targeting and two variations.
-- Inside Variation A: do nothing, because they see the current content.
-- Inside Variation B: place code that alters both URL1 and URL2 (whichever URL the user happens to be on)
By creating this as a single experiment that runs on both URLs, you can rest assured that users will not switch between variations when they log in.
Since the guest vs logged in users see different URLs, we can use that to tell Optimizely which code to run on each specific page. (This can be any element that distinguishes the two pages from each other, but for this example, URL works nicely.)
For this example, let's presume your URLs are like:
https://www.mysite.com/account/guestUsers
https://www.mysite.com/account/loggedInUsers
To accomplish Variation B, your code would look like this:
try {
if (window.location.pathname == "/account/guestUsers") {
//They are NOT logged in, alter the guest page
} else {
//They must be logged in, alter the logged in page
}
} catch(e) { }
edit: removed [code] tag and used the "insert code" button 
