The spelling of "gotten meat" can be confusing to those who are not used to American English. The word "gotten" is a form of the verb "get" and is pronounced as /ˈɡɒtn/ in IPA transcription. The letter "t" at the end of the word is pronounced as a glottal stop /ʔ/ in most cases. The word "meat" is pronounced as /miːt/ in IPA transcription. Therefore, the correct pronunciation of "gotten meat" is /ˈɡɒtn miːt/, with a slight pause between the two words where the glottal stop is pronounced.
The term "gotten meat" appears to be a combination of the word "gotten" and "meat". However, the phrase you provided doesn't have a widely recognized etymology or established historical origin.
"Gotten" is the past participle of the verb "get" and is commonly used in some dialects of English, particularly in North America. It means "to acquire" or "to obtain". The word has its roots in Old English and Middle English, where it originally referred to "to beget" or "to bring forth".
On the other hand, "meat" comes from the Old English word "mete", which referred broadly to food in general. Over time, the meaning of "meat" has evolved, and in modern English, it is generally used to denote animal flesh that is consumed as food.