I don't know if this will clear things more, but let's try to imagine what happen under the hood in a simple way,
we going to sumilate what happen using match
# group(0) return the matched string the captured groups are returned in groups or you can access them
# using group(1), group(2)....... in your case there is only one group, one group will capture only
# one part so when you do this
string = 'abcdla'
print(re.match('(ab|cd)', string).group(0)) # only 'ab' is matched and the group will capture 'ab'
print(re.match('(ab|cd)+', string).group(0)) # this will match 'abcd' the group will capture only this part 'cd' the last iteration
findall match and consume the string at the same time let's imagine what happen with this REGEX '(ab|cd)':
'abcdabla' ---> 1: match: 'ab' | capture : ab | left to process: 'cdabla'
'cdabla' ---> 2: match: 'cd' | capture : cd | left to process: 'abla'
'abla' ---> 3: match: 'ab' | capture : ab | left to process: 'la'
'la' ---> 4: match: '' | capture : None | left to process: ''
--- final : result captured ['ab', 'cd', 'ab']
Now the same thing with '(ab|cd)+'
'abcdabla' ---> 1: match: 'abcdab' | capture : 'ab' | left to process: 'la'
'la' ---> 2: match: '' | capture : None | left to process: ''
---> final result : ['ab']
I hope this clears thing a little bit.