It should. Unlike the AOTC, there is no limit on how many time you can claim it. The LLC is a non refundable credit, it can only be used to reduce a tax liability (if you got full $2000 in past, that's probably not the reason).
If you are eligible, you have answered something wrong, in the interview. But, a lot of people are just not eligible. See https://www.irs.gov/individuals/llc