I find that for most writing contests, a little preparation is necessary. This one is no different. Literary Mama is looking for writing submissions for its special theme issues. The catch is that it wants submissions three months before the special issue is published. So, although it is too late to get into the game for the Mother’s Day issue, you can probably still make the Father’s Day issue if you act now.
By its own admission, the magazine is looking for real, raw emotions (pain, humor, joy), strong narratives and something with depth. You can get all their nitty gritty guidelines at the link above.