Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE table_63771 ( "Name" text, "Position" text, "League Apps" text, "League Goals" real, "FA Cup Apps" real, "FA Cup Goals" real, "League Cup Apps" real, "League Cup Goals" real, "Total Apps" text, "Total Goals" real )

### Question ###
What is the sum of league cup appearances for the players with FA cup goals larger than 0 and FA cup appearances less than 2?

### Accurate SQL ###

SELECT SUM("League Cup Apps") FROM table_63771 WHERE "FA Cup Goals" > '0' AND "FA Cup Apps" < '2'