It is a great honour to be returning to Headingley and playing for Yorkshire, said Younis.
Yorkshire coach Jason Gillespie says that he is thrilled sign both players.
The board's members would be asked to approve the proposed changes later this month.
The 74-year-old received a three-month suspended sentence and a 5,300 pounds fine.
Ireland reached the Super Eight stage of the 2007 World Cup, beating Pakistan and Bangladesh.
Boycott is now a popular commentator, known for his typical accent and his idiosyncrasies.
Yorkshire won the County Championship.
Gale will miss Yorkshire's first-class season opener against MCC in Abu Dhabi next year.
Lyth spent six weeks on trial with Manchester City.
Gale pleaded guilty to abusing Prince during a recent county match.
Adam Lyth and Alex Lees both made clear their desire to play for England after winning awards from the Cricket Writers' Club.
Zimbabwe vs Bangladesh - 3rd ODI
ZIM 16/2 OVERS: 4.3
BAN 256/9 (50.0 Ovs)
ZIM need 241 runs in 273 balls at 5.29 rpo
Scotland vs United Arab Emirates - Match 1
SCO 108/3 OVERS: 24.0
West Indies vs New Zealand - 1st T20I
11 Aug, 2022 00:00 IST | 18:30 GMT
Sabina Park, Kingston, Jamaica
United Arab Emirates vs USA - Match 2
11 Aug, 2022 15:30 IST | 10:00 GMT
Mannofield Park, Aberdeen
Ireland vs Afghanistan - 2nd T20I
11 Aug, 2022 20:00 IST | 14:30 GMT
Civil Service Cricket Club, Stormont, Belfast
Ireland vs Afghanistan - 3rd T20I
12 Aug, 2022 20:00 IST | 14:30 GMT
Civil Service Cricket Club, Stormont, Belfast
West Indies vs New Zealand - 2nd T20I
13 Aug, 2022 00:00 IST | 18:30 GMT
Sabina Park, Kingston, Jamaica
Ireland vs Afghanistan - 1st T20I
Ireland beat Afghanistan by 7 wickets
India vs West Indies - 4th T20I
India beat West Indies by 59 runs
India vs West Indies - 5th T20I
India beat West Indies by 88 runs
Zimbabwe vs Bangladesh - 2nd ODI
Zimbabwe beat Bangladesh by 5 wickets
Ireland vs South Africa - 2nd T20I
South Africa beat Ireland by 44 runs