Well the problem is obviously that there might be more than one manager per employee.
So either you have to decide for a main manager for every employee which will need some changes to the database.
Or you have denormalize the query and show all managers in row. If you comma separate them it will look similar to this:
SELECT ED.RefEmpID AS [EmpID]
,ED.EmpFirstName
,ED.EmpMiddleName
,ED.EmpLastName
,EMG.RefEMGID AS [ManagerID]
,COALESCE(
STUFF
(
(
SELECT ', ' + EMG.RefEMGID
FROM EmployeeManager EMG
WHERE ELC.RefEmpID = ED.RefEmpID
FOR XML PATH('')
), 1, 2, N''
)
, N'') AS ManagerIDs
,ELC.RefELCID AS [ELCID]
,ELC.CashedDate
,ELC.CashedCount
,ELC.RefCalendarPeriodID AS [APID]
,ELC.PeriodStartDate
,ELC.PeriodEndDate
,LTY.RefLeaveTypeID AS [LTYID]
,LTY.LeaveTypeName
FROM EmployeeLeaveCashed ELC
LEFT JOIN CalendarPeriod CP ON ELC.RefCalendarPeriod = CP.RefCalendarPeriod
LEFT JOIN LeaveType LTY ON ELC.RefLeaveTypeID = LTY.RefLeaveTypeID
LEFT JOIN Employee ED ON ELC.RefEmpID = ED.RefEmpID
Adjust as necessary.