OK, well I'm going to throw a few other suggestions/comments into the pot.
(a) To get a 'true' representation of what an image looks like colour wise, or at least as close as is possible, it is important that you view the image(s) with a
calibrated monitor. All colour managed applications such as Lightroom, Photoshop & Co use the icc profile to display the image. Here it's important to differentiate between the
working space that you set in Preferences which is an entirely different thing altogether. If you use a colour managed application to view an image on an uncalibrated monitor which is using for example the manufacturers default icc profile then you're on a hiding to nothing from the word go. So, point one - ensure that your monitor is calibrated using external hardware such as the iMatch Display2 (to name but one) if not already done so.
(b) If not already installed, consider installing Canons own DPP from the CD that came with the camera. Unlike Photoshop/Lightroom which use the monitors icc profile (hopefully the now calibrated profile) by default, in DPP you need to locate and set this profile from within the application itself and do so each and every time that the monitor is calibrated. Once a month is recommended for this calibration.
(c) Compare the colour rendering (especially the reds) in both DPP and Photoshop - you might well find a considerable difference as indeed I do. This last statement applies more to raw images as ACR (Adobe Camera Raw) in both Lightroom and Photoshop use different algorithms to DPP and render raw images differently. There was quite a discussion on the Adobe forums some time back regarding ACR's inability to render correctly Canon reds and although considerable improvements have been made in this regards (in my opinion of course) it is still not up to par with Canons own DPP in this regards. Quite understandable really as Canon go to great lengths to protect the algorithms used in both their software and hardware. Although I myself predominantly use Lightroom and Photoshop, for images where accurate colour representation is an absolute priority I always revert to DPP, saving out as a TIFF for opening in Photoshop for further editing as necessary. When I refer to accurate colour representation I'm meaning commercial products e.g. Coke where the tone of red is as important as the trade mark itself and must be represented accurately in whichever market the product is advertised/sold.
(d) User settings of Av, Tv or indeed manual do NOT effect colour representation. What does affect colour representation when shooting jpeg images is how you have set the camera up. In the menu settings you should find a choice between sRGB and RGB and if you are only using a standard run-of-the-mill monitor then I would personally recommend setting this to sRGB if not so already. Your everyday monitor is not capable of displaying the full gamut of RGB and your camera manual will no doubt caution you against using RGB anyway.
(e) raw captured images do not have a colour profile attached to them in the everyday sense and this is only attached to them upon saving out to another format. You will no doubt have already noticed this from within Lightroom where when you Export an image out a choice of colour profiles are offered.