Golf League Tracker offers a wide variety of options when configuring your 2-player league, and I would like to present the more common formats of golf leagues that you can use Golf League Tracker for to manage your league. This list will give you a starting point for creating your league, but is by no means the only kind of format you can play with Golf League Tracker.
This is a format where you play for points for each hole. In addition to those points, leagues also combine this with a stroke-play type format, where additional points are given for low net score for each individual match.
While combining match play with stroke play is not a sanctioned USGA format, it works will for golf leagues in order to give an incentive for players to shoot their best possible score since the total score matters. Keeps those handicaps down, you know?
Classic match play is played on a hole by hole basis, where the player with the most holes won wins the match, regardless of how much they win by. You'll hear terminology such as "1 up", or "2 up" when a player has won two more holes than his opponent. If an opponent is up by more than the number of holes remaining, then he has won the match. For example, if you're 4 up with 3 holes to play, you've won "4 & 3", pronounced "4 and 3". Golf League Tracker allows you to configure the system for points per hole, but so as not to add those hole points to the player's total.
Great head to head matchups, known to be played in the Ryder Cup and President's Cup matches, as well as the PGA Match Play tournament
Stableford is a system in which points are won by a player for each hole based on their net score relative to par. Each team doesn't have a single opponent, but instead plays "against the field". This is very much like stroke play except that in a traditional Stableford game, once a player reaches a double-bogey, they don't win any points, and any score higher than double-bogey is irrelevant. In other words, you can have a REALLY bad hole and it won't damage your round as much as pure stroke play.
If you don't want head to head matchups, Stableford is a better method than pure stroke play because it doesn't punish players for really bad holes.