Terry, CT uses Open Street Mapping as its source. It's a community type map that we are all free to edit - so long as we know what we are doing. I'd suggest attempting updating them yourself or contacting the AAA and encouraging them to do the same. 

If the AAA have gpx versions of these routes you can import them into CT for your own personal use. 

However, CT may be 'aware' of these cycle lanes but chooses not to use them either because the data may not be complete or it has decided that they are not the 'best' way to go where you want to go. You could try using the new "Route" feature that tries to use official bike paths and routes. 

Alternatively, by adding viapoints you can adjust the route to your heart's content.

As a subscriber you receive access to additional maps. This is the OpenCycle Map of BC which highlights bike routes more than the CT version.