Try this...
SELECT
Mem_FirstNA, Mem_LastNA, Mem_DOB
FROM
MemberDetails
WHERE
ltrim(str(year(GETDATE()))) + '-' + ltrim(str(month(Mem_DOB))) + '-' + ltrim(str(day(Mem_DOB))) >= getdate() - 1 AND ltrim(str(year(GETDATE()))) + '-' + ltrim(str(month(Mem_DOB))) + '-' + ltrim(str(day(Mem_DOB))) <= getdate() + 30
EDIT: The comments for this answer have rightly pointed out that it will not work if the current year is a leap year. So this update. The list of dates can be more efficiently generated by using Get a list of dates between two dates using a function
Select Mem_FirstNA, Mem_LastNA, Mem_DOB from MemberDetails m, (
Select datepart(dd,getdate()) as d, datepart(mm,getdate()) as m
union
Select datepart(dd,getdate() + 1) as d, datepart(mm,getdate() + 1) as m
union
Select datepart(dd,getdate() + 2) as d, datepart(mm,getdate() + 2) as m
union
Select datepart(dd,getdate() + 3) as d, datepart(mm,getdate() + 3) as m
union
Select datepart(dd,getdate() + 4) as d, datepart(mm,getdate() + 4) as m
union
Select datepart(dd,getdate() + 5) as d, datepart(mm,getdate() + 5) as m
union
Select datepart(dd,getdate() + 6) as d, datepart(mm,getdate() + 6) as m
union
Select datepart(dd,getdate() + 7) as d, datepart(mm,getdate() + 7) as m
union
Select datepart(dd,getdate() + 8) as d, datepart(mm,getdate() + 8) as m
union
Select datepart(dd,getdate() + 9) as d, datepart(mm,getdate() + 9) as m
union
Select datepart(dd,getdate() + 10) as d, datepart(mm,getdate() + 10) as m
union
Select datepart(dd,getdate() + 11) as d, datepart(mm,getdate() + 11) as m
union
Select datepart(dd,getdate() + 12) as d, datepart(mm,getdate() + 12) as m
union
Select datepart(dd,getdate() + 13) as d, datepart(mm,getdate() + 13) as m
union
Select datepart(dd,getdate() + 14) as d, datepart(mm,getdate() + 14) as m
union
Select datepart(dd,getdate() + 15) as d, datepart(mm,getdate() + 15) as m
)X
where
datepart(dd, m.Mem_DOB) = x.d and datepart(mm, m.Mem_DOB) = x.m
If you are downvoting, please comment why.