I have the data like this :

[Mohan@localhost Office]$ cat str.txt
demo    demo@hotmail.com        1       4       25      2       0.25
test    srmvel@hotmail.com      1       4       25      2       0.25
test    srmvel@hotmail.com      1       1       20      2       0.25
\N      al@hotmail.com          1       1       20      14      3706.59
\N      al@hotmail.com          1       1       15      14      3706.59
\N      al@hotmail.com          1       1       20      14      3706.59
\N      al@hotmail.com          1       1       15      14      3706.59
\N      al@hotmail.com          1       1       10      14      3706.59
\N      al@hotmail.com          1       1       10      14      3706.59
\N      al@hotmail.com          1       1       25      14      3706.59
\N      al@hotmail.com          1       1       25      14      3706.59
home    home@gmail.com          1       4       25      2       0.25
Jorge   jor@jorge.com           1       4       25      2       0.25
N.A.    dyeotb@hotmail.com      1       1       20      14      3706.59
Own     gpradeepg@gmail.com     1       1       70      1       172.37
Own     gpradeepg@gmail.com     1       4       30      1       172.37
VISI    jhatch@visi.com         1       1       15      1       0.08
VIT     adivik2000@hotmail.com  1       1       10      0       0.08



[Mohan@localhost Office]$ awk   '$1!~/test/ || $2!~/@gmail.com/ { print  }' str.txt
demo    demo@hotmail.com        1       4       25      2       0.25
test    srmvel@hotmail.com      1       4       25      2       0.25
test    srmvel@hotmail.com      1       1       20      2       0.25
\N      al@hotmail.com          1       1       20      14      3706.59
\N      al@hotmail.com          1       1       15      14      3706.59
\N      al@hotmail.com          1       1       20      14      3706.59
\N      al@hotmail.com          1       1       15      14      3706.59
\N      al@hotmail.com          1       1       10      14      3706.59
\N      al@hotmail.com          1       1       10      14      3706.59
\N      al@hotmail.com          1       1       25      14      3706.59
\N      al@hotmail.com          1       1       25      14      3706.59
home    home@gmail.com          1       4       25      2       0.25
Jorge   jor@jorge.com           1       4       25      2       0.25
N.A.    dyeotb@hotmail.com      1       1       20      14      3706.59
Own     gpradeepg@gmail.com     1       1       70      1       172.37
Own     gpradeepg@gmail.com     1       4       30      1       172.37
VISI    jhatch@visi.com         1       1       15      1       0.08
VIT     adivik2000@hotmail.com  1       1       10      0       0.08


See still it is not removing.