Complex sentence: Neither the Phillies nor the Pirates ever faced the Athletics in October during the latter team's tenure in Philadelphia, through 1954, nor did the Boston Red Sox ever similarly face the Braves while the latter team played in Boston through 1952.
Split into simpler sentences: Neither the Phillies nor the Pirates ever faced the Athletics in October during the latter team's tenure in Philadelphia, through 1954. The Boston Red Sox never similarly faced the Braves while the latter team played in Boston through 1952.