At this point, notin is wondering "what is this guy going on about" and here is the answer. Yes, I'm old enough to know that Jeff Bagwell was traded. I was old enough at the time to have an opinion on the trade when it happened. Back then, the concern was that they were trading away Boggs' replacement as Bagwell had played 3b and wasn't the power threat he eventually became. While the playoff contender Red Sox of 1990 greatly needed bullpen help, thanks in part to trading Lee Smith (yet another future HOFer) for Tom Brunansky during the year, trading away a young promising player for only a few weeks of a reliever was a silly idea. The 1990 Red Sox weren't going to win the WS that year. No way were they getting by the A's in the playoffs. While a shortened rotation of Clemens/Boddicker vs Stewart/Welch is generally a toss up, the A's were just too good offensively (Ricky, McGwire, Canseco, Baines, Hendu). Ultimately, the A's were felled by the 1990 Reds who featured a solid young core of offensive players, a decent rotation and the Nasty Boys in the pen. Of the 4 teams in the playoffs, the Sox were well behind the Pirates/A's/Reds in terms of talent. So yes, it was pretty foolish to trade for Larry Andersen in 1990.
No, they did not trade for an Anderson in 1991.