So in this case, "after" means "one month before".
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Incidentally, there is an issue of ambiguous/confusing phrasing in the official announcement. It says "refunds will be given for all paid Focals orders starting June 30th, 2020". This could be interpreted to mean (1) that orders before June 30th will never be refunded or (2) that all orders will be refunded and the process will start on June 30th.
According to the official announcement (https://support.bynorth.com/hc/en-us/articles/360045128691-W...), the refunds started June 30th and the glasses will stop working July 31st.
So in this case, "after" means "one month before".
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Incidentally, there is an issue of ambiguous/confusing phrasing in the official announcement. It says "refunds will be given for all paid Focals orders starting June 30th, 2020". This could be interpreted to mean (1) that orders before June 30th will never be refunded or (2) that all orders will be refunded and the process will start on June 30th.
However, the comments on a Reddit thread (https://www.reddit.com/r/focals/comments/hjvgol/focals_refun...) show older orders were refunded and refunds started happening shortly after June 30th, so interpretation #2 looks correct.