Помогите решить задачу , нужно сделать через сканер , не понимаю как в метод вложить проверку ведённого значения в консоль

В вашей программе вы в любом случае попадаете на строку System.exit(0); и программа завершает свою работу. Какой принцип работы метода scanner.hasNext(): данный метод возвращает true пока не закончится поток. При чтении из файла - концом потока будет конец файла. При чтении с клавиатуры концом потока будет ввод ^D (в Windows CTRL+D). То есть вы доходите до строки

if (scanner.hasNext()) {

В ЛЮБОМ случае попадаете в эту ветку и на команде System.exit(0); завершаете программу. Вам нужно убрать эту проверку, потом считывать данные с помощью метода scanner.nextLine() а не nextInt(). И проверять этот nextLine(): цифры там или нет. Вашу проверки с hasNext() удалите все, потому что вы будете в любом случае в них попадать и программа будет завершаться. Попробуйте переписать код без них, если не получится - напишите

Добавил мой вариант исправленного кода:

public class Test2 {
    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        System.out.print("Input your team: ");
        String team1 = scanner.next();
        System.out.println("Input 1 player frags: ");
        int player1team1=0;
        try {
             player1team1 = scanner.nextInt();
        }
        catch (InputMismatchException exc) {
            System.out.println("You put the wrong value! ");}

        System.out.println("Input 2 player frags: ");
        int player2team1=0;
        try {
            player2team1 = scanner.nextInt();
        }
        catch (InputMismatchException exc) {
            System.out.println("You put the wrong value! ");}

        int player3team1=0;
        try {
            player3team1 = scanner.nextInt();
        }
        catch (InputMismatchException exc) {
            System.out.println("You put the wrong value! ");}

        System.out.println("Input 4 player frags: ");
        int player4team1=0;
        try {
            player4team1 = scanner.nextInt();
        }
        catch (InputMismatchException exc) {
            System.out.println("You put the wrong value! ");}
        System.out.println("Input 5 player frags: ");
        int player5team1=0;
        try {
            player5team1 = scanner.nextInt();
        }
        catch (InputMismatchException exc) {
            System.out.println("You put the wrong value! ");}

        System.out.print("Input your team: ");
        String team2 = scanner.next();
        System.out.println("Input 1 player frags: ");
        int player1team2=0;
        try {
            player1team2 = scanner.nextInt();
        }
        catch (InputMismatchException exc) {
            System.out.println("You put the wrong value! ");}
        System.out.println("Input 2 player frags: ");
        int player2team2=0;
        try {
            player2team2 = scanner.nextInt();
        }
        catch (InputMismatchException exc) {
            System.out.println("You put the wrong value! ");}
        System.out.println("Input 3 player frags: ");
        int player3team2=0;
        try {
            player3team2 = scanner.nextInt();
        }
        catch (InputMismatchException exc) {
            System.out.println("You put the wrong value! ");}
        System.out.println("Input 4 player frags: ");
        int player4team2=0;
        try {
            player4team2 = scanner.nextInt();
        }
        catch (InputMismatchException exc) {
            System.out.println("You put the wrong value! ");}
        System.out.println("Input 5 player frags: ");
        int player5team2=0;
        try {
            player5team2 = scanner.nextInt();
        }
        catch (InputMismatchException exc) {
            System.out.println("You put the wrong value! ");}

        int avgResultTeam1 = (player1team1 + player2team1 + player3team1 + player4team1 + player5team1) / 5;

        int avgResultTeam2 = (player1team2 + player2team2 + player3team2 + player4team2 + player5team2) / 5;

        if (avgResultTeam1 > avgResultTeam2) {
            System.out.println("Победила команда " + team1 + " набравшая " + avgResultTeam1 + " очков");
        } else {
            System.out.println("Победила команда " + team2 + " набравшая " + avgResultTeam2 + " очков");
        }

        scanner.close();

    }
}

Вариант с методом:

public class Test2 {
    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        System.out.print("Input your team: ");
        String team1 = scanner.next();
        System.out.println("Input 1 player frags: ");
        int player1team1 = getValue();
        System.out.println("Input 2 player frags: ");
        int player2team1 = getValue();
        System.out.println("Input 3 player frags: ");
        int player3team1 = getValue();
        System.out.println("Input 4 player frags: ");
        int player4team1 = getValue();
        System.out.println("Input 5 player frags: ");
        int player5team1 = getValue();
        System.out.print("Input your team: ");
        String team2 = scanner.next();
        System.out.println("Input 1 player frags: ");
        int player1team2 = getValue();
        System.out.println("Input 2 player frags: ");
        int player2team2 = getValue();
        System.out.println("Input 3 player frags: ");
        int player3team2 =  getValue();
        System.out.println("Input 4 player frags: ");
        int player4team2 = getValue();
        System.out.println("Input 5 player frags: ");
        int player5team2 = getValue();

        int avgResultTeam1 = (player1team1 + player2team1 + player3team1 + player4team1 + player5team1) / 5;

        int avgResultTeam2 = (player1team2 + player2team2 + player3team2 + player4team2 + player5team2) / 5;

        if (avgResultTeam1 > avgResultTeam2) {
            System.out.println("Победила команда " + team1 + " набравшая " + avgResultTeam1 + " очков");
        } else {
            System.out.println("Победила команда " + team2 + " набравшая " + avgResultTeam2 + " очков");
        }

        scanner.close();

    }

    public static int getValue(){
        Scanner scanner = new Scanner(System.in);
        int value=scanner.nextInt();

        return value;
    }
}