His opening strike saw him net his 400th for the club since joining for a world record fee from Manchester United in 2009.
And the second saw him overtake West Germany legend Gerd Muller to record his 367th league goal in European football.
The 32-year-old will have the opportunity to break the record when they visit Celta Vigo on Wednesday before the trip to Malaga on the final day.
Of current footballers, unsurprisingly it is Lionel Messi who is the highest-ranked active player nearest to the Portuguese forward.
THE TOP 10
1=: Jimmy Greaves & Cristiano Ronaldo - 366
3: Gerd Muller - 365
4: Lionel Messi - 346
5: Steve Bloomer - 317
6: Dixie Dean - 310
7: Delio Onnis - 299
8: Gordon Hodgson - 287
9: Alan Shearer - 283
10: Silvio Piola - 274
The Barcelona star has scored 346 league goals during his career so far.
Behind him is Zlatan Ibrahimovic with the Manchester United's 268 goals putting him 11th in the all-time list.
In the top 20 he is the only player to have scored in England, Spain, Italy and France.