IF formula between dates doesn't work, returns TRUE instead of FALSE

Hello excel friends,

I hope you had a nice week so far.
I am stuck with a formula and I just don't get why it's not working. I've been trying a lot, but I am not able to figure it out. Therefore I hope you guys could hep me out, I believe it's pretty easy for you.

So it's actually just part of the formula that doesn't work, that is why I simplified it a lot.
I have a contract with a start date and it's financial impact is always 2 months after the actual start.
For that reason I tried to use a MONTHS & YEARS formula in order to solve it. The conditions are the following.

IF the actual month is before the start that then leave it empty (or in this case return TRUE)
IF the actual month is 2 or more months after the start that then return FALSE

I create the formula =IF(MONTH($B5)+2&YEAR($B5)>MONTH(L$3)&YEAR(L$3),"TRUE","FALSE")

For some reason the formula works, but for some reason starting from October it doesn't work anymore, and I simply do not understand why. If I take a look into the formula it would be IF(62019>102019), which should be FALSE, but for some reason it returns TRUE. Why is that?

I attached you a excel with 1 line that includes the formula and another line that shows how it supposed to be. Please have a look and let me know if that's enough of information.

I hope you guys can help me out! Thanks sooo much in advance!

Best,
AFGP

Administrative Note:

We would very much like to help you with your query, however the thread title does not really convey what your request is about.

Please take a moment to amend your thread title. Make sure that the title properly explains your request. Your title should be explicit and not be generic (this includes function names used without an indication of what you are trying to achieve).

Please see Forum Rule #1 about proper thread titles and adjust accordingly. To edit the thread title, open the original post to edit and then click on Go Advanced (bottom right) to access the area where you can edit your title.

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It won't be a generic problem - it will be either user error or incorrect user expectation.

Thanks for the title change - I'll have a look at your file.

OK. Question for you: which is larger?

62019

102019

You'd expect 102019, wouldn't you?

However, you are actually comparing text, so Excel is confused.

This will deal with the dates in 2019:

=VALUE(MONTH($B5)+2&YEAR($B5))>VALUE(MONTH(G$3)&YEAR(G$3))

However, the formula is not robust, and falls over with the 2020 dates.

Try this instead, which will work in all cases:

=EOMONTH(EDATE($B5,2),-1)+1>G$3

You're welcome!