Following the demise of the Texaco Cup in England, the Anglo-Scottish Cup was introduced. This had a similar format to its predecessor but involved clubs from England and Scotland only.
Over the years English entrants were increasingly drawn from the lower divisions and in 1981 the Scottish clubs withdrew as the public showed little interest in the competition (plus playing some of the lower league sides saw a hell of a lot of trouble at some grounds especially at Burnley).
The competition continued with English clubs only as the Football League Group Cup.
The Finals were contested thus:
Finals played over two legs, aggregate score shown
1976 Middlesbrough 1 - 0 Fulham
1977 Nottingham Forest 5 - 1 Orient
1978 Bristol City 3 - 2 St. Mirren
1979 Burnley 4 - 1 Oldham Athletic
1980 St. Mirren 5 - 1 Bristol City
1981 Chesterfield 2 - 1 Notts County
Celtic's Involvement:1978:1st Rd, 1st Leg; 3rd August, 1978; Celtic Park, KO 19:30
Celtic 2 - 1 Clyde
Celtic Team: Latchford, Sneddon, Aitken, Edvaldsson, MacDonald, Burns, Conn, Lumsden, McAdam, Glavin, McCluskey
Scorers: Conn (53), Burns (87)
Clyde Team: Arrol, Anderson, Boyd, Clougherty, Kinnear, Aherne, Brogan, O'Neill, Marshall, McCabe, Ward
Scorers: Ward (4)
Attendance: 10,000
1st Rd, 2nd Leg; 5th August, 1978; Shawfield Stadium, KO 19:30Clyde 1 - 6 Celtic
Clyde Team: Arrol, Anderson, Kinnear, Clougherty, Boyd (Martin), O'Neill, Aherne, McCabe, Marshall, Ward, Hood (McNaughton)
Scorers: O'Neill (68)
Celtic Team: Latchford, Sneddon, Edvaldsson, MacDonald, Lynch, Glavin, Aitken, Burns, Conn, McAdam, McCluskey (Wilson)
Scorers: Conn (48, 85), McAdam (55, 80), Glavin (75, 86)
Attendance: ???
Aggregate Score: Celtic 8 - 2 Clyde
QF, 1st Leg; 12th September, 1978; Turf Moor, Burnley, KO 19:30Burnley 1 - 0 CelticBurnley Team: Stevenson, Scott, Brennan, Noble, Thomson, Rodaway, Cochrane, Hall, Fletcher, Kindon, James
Scorers: Kindon (55)
Celtic Team: Latchford, Filippi, Lynch, Aitken, Edvaldsson, Glavin, Doyle, Conroy, McAdam, Burns, McCluskey
Attendance: 25,000
QF, 2nd Leg; 27th September, 1978; Celtic Park; KO 19:30Celtic 1 - 2 BurnleyCeltic Team: Latchford, McGrain, Lynch, Aitken, Edvaldsson, Conroy, Provan, Conn, McAdam, Burns, Lennox
Scorers: Lynch (68, pen)
Burnley Team: Stevenson, Scott, Brennan, Noble, Thomson, Rodaway, Ingham, Smith, Fletcher, Kindon, James
Scorers: Brennan (21), Kindon (26)
Attendance: 28,000
Aggregate Score: Celtic 1 - 3 Burnley
Burnley went on to win the Final defeating Oldham Athletic 4 - 1 on aggregate.