ok, so the formula should be
Lookup('Event Information', ID = Value(Title)).'Event Start Date'
This again might not work very well with SharePoint lists as both lists have the columns ID and Title.
If that is the case you might have to create a collection and rename some of the columns
ClearCollect(
colEventInformation,
RenameColumns(
'Event Information',
"ID", "EventId",
"Title", "EventTitle"
)
);
Lookup(colEventInformation, EventID = Value(Title)).'Event Start Date'