Way I see it is as follows...
FSG are waiting to see what happens against Villa. These are the scenarios
1. Poor performance and loss / bore draw = Sacked
2. Poor performance but scrape win = Buys a tiny bit more time / stay of execution but still on very very thin ice
3. Good performance and any result = Buys a little more time and we move onto the next game with FSG still monitoring the situation closely and if that's back to the usual dross then sacked
Rodgers has to show that he can get this team to play and have an identity to save himself now. But i think he's at the limit of his managerial capacities
He persists in inexplicably playing players out of their preferred position, in selecting the usual culprits for the first 11 as they're his favs and in refusing to accept the reality of what's happening every time we play a match. Rodgers is the biggest believer in Rodgers own mythology, only the myth isn't kept on gilded scrolls in an important place but scrawled in pencil on A4 lined paper he's scrwed up and soaked in tea to make it look authentic