If a manager argues a call, his players get a small positive bump for the next half-inning. The description is found by hitting the small yellow ? circle on the Managerial Settings page in top right...
" if you set your manager's argumentative rating to a five he is highly likely to contest a call at a pivotal point in the game. In this case, if he argues the call his players immediately receive a ratings boost for that half inning. However, if he is ejected, the bench coach must take over for the remainder of the game. Bench coaches use the default neutral managerial settings. Also, having an argumentative manager will increase the player's temper rating. There are positives and negatives associated with every tendency."