Like Extension Linq / SQL
LikeExtension Class
Tested in .NET 5
 public static class LikeExtension {
    private static string ColumnDataBase<TEntity, TKey>(IModel model, Expression<Func<TEntity, TKey>> predicate) where TEntity : class {
        ITable table = model
            .GetRelationalModel()
            .Tables
            .First(f => f
                .EntityTypeMappings
                .First()
                .EntityType == model
                .FindEntityType(predicate
                    .Parameters
                    .First()
                .Type
            ));
        string column = (predicate.Body as MemberExpression).Member.Name;
        string columnDataBase = table.Columns.First(f => f.PropertyMappings.Count(f2 => f2.Property.Name == column) > 0).Name;
        return columnDataBase;
    }
    public static IQueryable<TEntity> Like<TEntity, TKey>(this DbContext context, Expression<Func<TEntity, TKey>> predicate, string text) where TEntity : class {
        string columnDataBase = ColumnDataBase(context.Model, predicate);
        return context.Set<TEntity>().FromSqlRaw(context.Set<TEntity>().ToQueryString() + " WHERE [" + columnDataBase + "] LIKE {0}", text);
    }
    public static async Task<IEnumerable<TEntity>> LikeAsync<TEntity, TKey>(this DbContext context, Expression<Func<TEntity, TKey>> predicate, string text, CancellationToken cancellationToken) where TEntity : class {
        string columnDataBase = ColumnDataBase(context.Model, predicate);
        return await context.Set<TEntity>().FromSqlRaw(context.Set<TEntity>().ToQueryString() + " WHERE [" + columnDataBase + "] LIKE {0}", text).ToListAsync(cancellationToken);
    }
    public static async Task<IEnumerable<TEntity>> LikeAsync<TEntity, TKey>(this IQueryable<TEntity> query, Expression<Func<TEntity, TKey>> predicate, string text, CancellationToken cancellationToken) where TEntity : class {
        DbSet<TEntity> entities = query as DbSet<TEntity>;
        string columnDataBase = ColumnDataBase(entities.EntityType.Model, predicate);
        return await entities.FromSqlRaw(query.ToQueryString() + " WHERE [" + columnDataBase + "] LIKE {0}", text).ToListAsync(cancellationToken);
    }
    public static IQueryable<TEntity> Like<TEntity, TKey>(this IQueryable<TEntity> query, Expression<Func<TEntity, TKey>> predicate, string text) where TEntity : class {
        DbSet<TEntity> entities = query as DbSet<TEntity>;
        string columnDataBase = ColumnDataBase(entities.EntityType.Model, predicate);
        return entities.FromSqlRaw(query.ToQueryString() + " WHERE [" + columnDataBase + "] LIKE {0}", text);
    }
}
Repository
    public async Task<IEnumerable<TEntity>> LikeAsync<TKey>(Expression<Func<TEntity, TKey>> predicate, string text, CancellationToken cancellationToken) {
        return await context.LikeAsync(predicate, text, cancellationToken);
    }
    public IQueryable<TEntity> Like<TKey>(Expression<Func<TEntity, TKey>> predicate, string text) {
        return context.Like(predicate, text);
    }
Use
 IQueryable<CountryEntity> result = countryRepository
     .Like(k => k.Name, "%Bra[sz]il%") /*Use Sync*/
     .Where(w => w.DateRegister < DateTime.Now) /*Example*/
     .Take(10); /*Example*/
Or
 IEnumerable<CountryEntity> result = await countryRepository
     .LikeAsync(k => k.Name, "%Bra[sz]il%", cancellationToken); /*Use Async*/
Or
 IQueryable<CountryEntity> result = context.Countries
     .Like(k => k.Name, "%Bra[sz]il%")
     .Where(w => w.Name != null); /*Example*/
Or
 List<CountryEntity> result2 = await context.Countries
     .Like(k => k.Name, "%Bra[sz]il%")
     .Where(w => w.Name != null) /*Example*/
     .ToListAsync(); /*Use Async*/
Or
 IEnumerable<CountryEntity> result3 = await context.Countries
     .Where(w => w.Name != null)
     .LikeAsync(k => k.Name, "%Bra[sz]il%", cancellationToken); /*Use Async*/