Reddit reviews Ties That Bind: Familial Homophobia and Its Consequences

This is called shunning. Your parents are shunning you because of their own homophobia. By not acknowledging that you are gay, they don't have to confront their own homophobia.
There is a shame that you are feeling and that is because shunning is a manner in which your parents are choosing to say your sexuality does not matter, and does not exist and should not exist because it is wrong.
Yes, it will take time for them to deal with THEIR OWN issues around you being gay, but what needs to happen is you have to take back the power by talking about gay stuff, like your boyfriend, love of musicals, whatever, and not be afraid. If they disengage, call them out on it.
The coming out process is long and painful for us especially when we have homophobic parents. Triumphs are found in those little moments when you tell them about how much fun you had at the gay bar, or that you are going on a date with a guy you really like.
Here's a good book that helped me a lot to understand familial homophobia Ties That Bind.