I suggest that you look at the individual proclamations for these two monuments.
The Bears Ears will be managed as part of the Manti-LaSalle National Forest and a portion by the BLM. The NF will likely amend their existing Forest Plan to include management direction for the monument. But they have a planning process that you can get involved in. Give them a call and ask to talk with their Forest Planner.
The Gold Butte monument's proclamation (BLM and BOR lands) specifies an advisory council will play a role in developing the management plan. So contact the local BLM district office and ask how it all works.
Having said that, I will go on to say that I am most definitely NOT a fan of Presidents (not just Obama) making these designations as they walk out of the oval office. These are already mostly federally owned lands and being managed under whatever agency is responsible. The designations are just preventing uses that have been deemed acceptable for decades and also they are a last-ditch effort by whatever President is leaving to try to build a conservation legacy for themselves. It is a foolish way to manage federal resources. If these areas truly needed protection, that protection should have come with careful thought and planning and should have been done sometime during the previous 8 years of the President's terms of office.
