Macro to unprotect Ranges which are protected by the "Allow Users to Edit Ranges" option ?

Hello everybody,
This is my 1^st post, so I hope I can make it clear.

I have a Workbook which contains of 15 Sheets. Each Sheets consists of:
1. Formulas. {Which I don't want anyone to mess with them}
2. Ranges "Group 1" in every Sheet. {Which I need ONLY Team 1 to be able to edit them}
3. Ranges "Group 2" in every Sheet. {Which I need ONLY Team 2 to be able to edit them}

The easy part for me was:
1. Assign a Macro to Protect all Sheets and linked it to a custom icon in the Ribbon. {Using "CustomUIEditor"} To be able to Protect all Sheets by 1-Click. {Password "ABC"}
2. Assign a Macro to Unprotect all Sheets and linked it to a custom icon in the Ribbon. {Using "CustomUIEditor"} To be able to Unprotect all Sheets by 1-Click.
3. Setting "Allow Users to Edit Ranges" with Password "1" for Team 1 in every Sheet.
4. Setting "Allow Users to Edit Ranges" with Password "2" for Team 2 in every Sheet.

What I need is to be able to run macros to:
1. Unlock all the Ranges "Group 1"
2. Unlock all the Ranges "Group2"

So, my question is:
Is there is a code to unlock those cells within the "Allow Users to Edit Ranges" ?
{Sorry, for the long explanation, just needed to be sure it's clear. Thanks in advance.}

Test Sheet.xlsmHi MarvinP, thanks for your kind response.

For your answer, that would be great IF they work on separate sheets, but unfortunately both team works on all sheets but different columns.
I've attached a part of file to reduce it's size, but it won't matter anyway.
As you'll see, there are 9 sheets which are currently manged as following:
1. All locked (Password "szz")
2. All unlocked
The reason is that there is 2 companies working on this File. The 1st one {Black values} propose it's desired percentage and the 2nd one {Red Values} reply with it's approved values.
For now, the 1st company isn't allowed to modify anything rather their {Black values}, while the 2nd one -my team- are allowed to edit everything in the file including formulas.
As you can see I've created a new Tab in the Ribbon {Aboul Zahab} to automatically lock and unlock all the sheets at once. The reason I did that because this File is used periodically a lot and it's a time consuming to do this manually every-time for the 15 Sheets.

What I really need is a 2nd level of protection which allows My Team to work on their values without messing with the formulas, which I thought that using "Allow Users to Edit Ranges" option would help, but unfortunately I couldn't know how to run it from a macro.
Sorry for the long explanation, but I got really desperate about this issue, hope you have the time to read it, thanks again

Yeah, they are allowed to see all the data, just the editing is not allowed in each-other columns, and of course -my main purpose- no one can edit the formulas.
Yes, as you said, my main problem is how to assign the password in vba.
And your solution may be so helpful, but still, how can I assign who edit what ?
I need something like:
1. me -> edit everything [unlocked sheet, already done]
2. Black Team -> edit only unlocked cells [Blacks values, already done]
3. Red Team -> edit everything "except" formulas [if that is easier than editing only Red Values]

any ideas ?