Extract data based on table of conditions

Hello everyone
I have data in sheet1 in range("B3:C14") in two columns one for code and the other for date

Based on the table in range("F1:I2") I need to extract data to another sheet ..based on the code number in F2 & G2 in the period between the two dates in H2 & I2
There is the expected output to illustrate my need and if possible to format the output ..
Thanks advanced

I did this with a very simple Pivot Table...

	J	K	L
4		Row Labels
5		1
6		1-Jan
7		2-Jan
8		4-Jan
9		2
10		2-Jan
11		3-Jan
12		6-Jan
13		3
14		5-Jan
15		6-Jan
16		Grand Total
17

Use both Code and then Date as row labels

Thanks a lot for reply
But I need the output to be between two dates..
In fact I prefer coding as I need the output to be formatted like attached

Try this...sorry, took longer than I thought:

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Thanks a lot Mr. Obsessed for this helpful solution..It's great
Mr. Karedog
I tested the code and I got an error (Method 'Union' of object'_Global failed) at this line

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Thanks a lot for offering help

Never mind at all Mr. Karedog
It's my fault not yours .. I have to correct this simple error on my own
Now It is VERY PERFECT
Thank you very very much

Many thanks too to Mr. Obsessed for his great solution