We search for the production of Technicolor particles in e+e- collisions at the highest centre-of-mass energies at LEP. The results are based on data collected by the OPAL detector in the year 2000 at sqrt(s)~ 200-209,GeV corresponding to an integrated luminosity of 209.4pb^-1. In particular, we search for the processes e+e- -> rho^0_T / omega^0_T -> pi^+_T pi^-_T -> b bar(q) bar(b) q' and e+e- -> rho^0_T / omega^0_T -> pi^0_T gamma -> b bar(b) gamma. No excess over the expectation from Standard Model processes has been observed. We derive upper limits for the production cross-sections as a function of the technipion mass. The results are interpreted within the Technicolor Straw Man Model and exclusion regions in the (technirho/techniomega,technipion) mass plane are derived. An absolute lower limit on the technipion mass is set to 62GeV at 95% CL, independently of other parameters in the Technicolor Straw Man Model.