For whatever reason, the parent Cincinnati Reds assigned him to Dothan for a second season in 1959, and he responded by bopping out a .337 average and again led the circuit with 46 steals.

Sufficiently impressed, the Reds moved Acosta up to the Billings Mustangs of the Class C Pioneer League the next season, where he topped the loop with a .369 average (the first of his five pro batting crowns) and 45 swipes.

Teolindo Acosta belong to a selected list of baseball players in Venezuela, who are in the top of several offensive departments; Acosta is the third in the list of most games played (1130); third in plate appearances (4324); he is fourth in Run scored (604); also he is third in hits (1289); additionally, is in the second place in Triples (56) and fourth in stolen bases (121).

He cooled off a bit over the next few seasons, batting between .269 and 294 from 1962 through 1966, and after only hitting .238 for Buffalo of the International League over 49 games in 1967, he moved south to Mexico for the 1968 campaign with Puebla.

The left-handed Acosta carried a lifetime .328 average in 19 seasons of professional baseball, collecting 2,724 hits with 64 homers and 389 stolen bases.

Acosta, basically was sharing his time as active baseball player between México and Venezuela, and after 23 seasons, he decided to hung up his spikes in 1979 while he was playing with Cardenales de Lara in the Venezuelan winter league.