"Tec" on the back of an engine name indicates what the maker is branding the engine as.
The 1.4T Ecotec in my Cruze is a gem of an engine, though. It's not that powerful, but has a thick powerband right where I use the engine in daily driving. It also gets great fuel economy. Overall weaknesses have shown to be stuck-open thermostats and leaky waterpumps, both affecting a small percentage of cars. Overall, couldn't ask for a better engine.
The 1.5l i-VTEC mill in the Fit is another decent daily driver engine. It moves that car well for being 117 hp. Even in city traffic, it still gets about 28-30 mpg. It does have its Honda-ism's, such as needing valve adjustments and needing to be caned to make any real power.
I'd take both "Tec" engines all day every day.