How to convert sidereal time to local time?
Convert your current local date and time "t" to UTC if necessary.
Use an app to calculate the local sidereal time (LST) for the current date and time t.
Calculate the following equation:


$$local\;time\;for\;13.30\;LST = t+\frac {13.30-LST\;at\;current\;date\;and\;time\;t}{1.0027379}$$

For example, at 3:00 local time (2:00 UTC) on Feb 6, 2019, the LST=11:25:02 (11.4172 hours) at 5 deg 20' 15" east longitude (5.3375 deg). The above formula gives the time for 13.30 hours LST as
$$=3:00+\frac{13.30-11.4172}{1.0027379}$$
which equals 4.8777 hours local time (4:52:40). Plugging that time (converted to UTC if necessary) back into an app confirms the LST is 13:18:00 (13.30 hours).

After you know one date and time, you can calculate the next date and time approximately by adding 23:56:04 to your answer. For a date more than a few weeks in the future, I suggest you repeat the calculation for a the new date.

I was using this online site, but any site should give a similar answer: Calendar Date And Time To Julian Day And Sidereal Times