Don't pay any attention to those cheap little boxes you can buy on Ebay called 'amp boosters' or 'volume boxes' and which claim to let you push the power tubes harder either... they don't. *All* they do is give you another master volume control in the FX loop - which is especially useless on a Mesa since that's exactly what the Output Level or Loop Active Master controls do. They simply give a different range to the *preamp* controls.
The *only* way to get power tube overdrive is to play at physically higher volume levels, as stephen said. If that's then too loud, you can reduce the volume with a *power* attenuator, which goes between the amp and the speaker, and is always a fairly large, heavy and expensive device - because they have to be in order to absorb the full power of the amp safely without burning out either themselves or the amp - don't let anyone sell you something called an 'attenuator' that isn't.
The cheap little volume boxes do actually have a very useful function on amps which either don't have an overall master volume, or overly-sensitive channel volumes, by the way - a great example is the Fender Hotrod series - but they still aren't letting you push the tubes harder. And they are not 'amp boosters' - they only *cut* signal.