There is no easy way.
Your future husband needs to show all the documents required in order,
Only when all the criteria is satisfied, will the ECO issue the Family Permit.
There is no time scale, it could take one week as it could take six weeks.
So I would no make plans to travel back together after the wedding.
We married in February. we applied in July, and the Family permit was released early september, my wife flew to the UK on her own on the 20th of the same month.
At this moment there is a shorter wait, and it is well documented on the forum, but we haven't heard of anybody applying for family permits for a while.