Hello, according to some articles I was researching, it seems that you must have an older ONT, as the newer ones stop the beeping once the battery is pulled out.
Do you know if your installation was before/on 2013?
If this is so, then according to the article:
... you should try asking Verizon for a replacement battery-backup unit. Verizon will replace “early-generation” backup devices at no charge...
I can't confirm if this statement is true or not, but it never hurts to ask support about it 
@JustinG wrote:Hello, according to some articles I was researching, it seems that you must have an older ONT, as the newer ones stop the beeping once the battery is pulled out.
Do you know if your installation was before/on 2013?
If this is so, then according to the article:
... you should try asking Verizon for a replacement battery-backup unit. Verizon will replace “early-generation” backup devices at no charge...I can't confirm if this statement is true or not, but it never hurts to ask support about it
My ont was installed in 2009. If I disconnect the battery the beeping stops.
I'm still on the original battery. The low charge battery test apparently happens only once a month as beeping only occurs once a month. I disconnect one of the battery terminals and reconnect it and it's silent again. I guess I could just remove it but have never bothered to.