That list is bogus and probably written by some yankee, some very old yankee.
The definitive Top 25 list is as follows and is HEAVILY weighted on wins/losses/ties:
1. Paul (Bear) Bryant, 323-85-17 career record
Maryland (1945; 6-2-1 record), Kentucky (1946-53; 60-23-5), Texas A&M (1954-57; 25-14-2) and Alabama (1958-1982; 232-46-9)
2. Nick Saban, 242-65-1
Toledo (1990; 9-2), Michigan State (1995-99; 34-24-1), LSU (2000-2004; 48-16) and Alabama (2007-present; 151-23)
3. Tom Osborne, 255-49-3
Nebraska (1973-97)
4. Joe Paterno, 409-136-3
Penn State (1966-2011)
5. Bobby Bowden, 377-129-4
Howard College (1959-62; 31-6), West Virginia (1970-75; 42-26) and Florida State (1976-2009; 304-97-4)
6. Eddie Robinson, 408-165-15
Grambling (1941-42, 1945-1997)
7. Glenn (Pop) Warner, 336-114-32
Georgia (1895-96; 7-4), Iowa State (1895-99; 18-8), Cornell (1897-98, 1904-06; 36-13-3), Carlisle (1899-1903, 1907-14; 113-42-8), Pittsburgh (1915-23; 60-12-4), Stanford (1924-32; 71-17-8) and Temple (1933-38; 31-18-9)
8. Amos Alonzo Stagg, 314-199-35
Springfield (1890-91; 10-11-1) Chicago (1892-1932; 244-111-27), Pacific (1933-1946; 60-77-7)
9. Woody Hayes, 238-72-10
Denison (1946-48; 19-6), Miami (Ohio) (1949-50; 14-5) and Ohio State (1951-78; 205-61-10)
10. Steve Spurrier, 228-89-2
Duke (1987-89; 20-13-1), Florida (1990-2001; 122-27-1) and South Carolina (2005-15; 86-49)
11. Bo Schembechler, 234-65-8
Miami (1963-68; 40-17-3) and Michigan (1969-89; 194-48-5)
12. Barry Switzer, 157-29-4
Oklahoma (1973-88)
13. Charles (Bud) Wilkinson, 145-29-4
Oklahoma (1947-63)
14. John Gagliardi, 489-138-11
Carroll College (1949-52; 24-6-1) and St. John's (Minnesota) (1953-2012; 465-132-10)
15. Lou Holtz, 249-132-7
William & Mary (1969-71; 13-20), NC State (1972-75; 33-12-3), Arkansas (1977-83; 60-21-2), Minnesota (1984-85; 10-12), Notre Dame (1986-1996; 100-30-2) and South Carolina (1999-2004; 33-37)
16. Urban Meyer, 187-32
Bowling Green (2001-02; 17-6), Utah (2003-04; 22-2), Florida (2005-10; 65-15) and Ohio State (2012-18; 83-9)
17. Vince Dooley, 201-77-10
Georgia (1964-1988)
18. Bobby Dodd, 165-64-8
Georgia Tech (1945-66)
19. LaVell Edwards, 257-101-3
Brigham Young (1972-2000)
20. Ara Parseghian, 170-58-6
Miami (Ohio) (1951-55; 39-6-1), Northwestern (1956-63; 36-35-1) and Notre Dame (1964-74; 95-17-4)
21. Fielding Yost, 198-35-12
Ohio Wesleyan (1897; 7-1-1), Nebraska (1898; 8-3), Kansas (1899; 10-0), San Jose State (1900; 1-0), Stanford (1900; 7-2-1) and Michigan (1901-1923, 1925-26; 165-29-10)
22. John McKay, 127-40-8
USC (1960-75)
23. Knute Rockne, 105-12-5
Notre Dame (1918-30)
24. Frank Leahy, 107-13-9
Boston College (1939-40; 20-2) and Notre Dame (1941-43, 1946-53; 87-11-9)
25. Earl (Red) Blaik, 166-48-14
Dartmouth (1934-40; 45-15-4) and Army (1941-58; 121-33-10)